distributive property calculator math papa
The input expression may contain values, variables . This gets rid of parentheses. OK, that definition is not really all that helpful for most people. A binomial is a polynomial expression and it contains exactly two terms. Now, the value of 'm' can be calculated. Systems of Equations Calculator is a calculator that solves systems of equations step-by-step. Step 1: Write down the question as it is, for example, 3*(8+15), Step 2: Remove the brackets using Distributive Property 3*8+3*15, Step 3: Using the BODMAS rule, evaluate the expression 69, Step 4: Equate the original expression and the result 3*(8+15)=69. Product of a number and a variable, general aptitude question, how to store text of T-89 calculator, proportions worksheet. Algebrator is a good program to solve simplifying expressions distributive property calculator questions. The FOIL method is the abbreviations of the sequences First, Outer, Inner and Last. The distributive property is applied to variables in the same way as it is done for numbers. In each pair, the first is a straightforward case using the formula from the above section (also used by the associative property calculator). While these number properties will start to become relevant in matrix algebra and calculus and become amazingly important in advanced math, a . Addition Multiplication Subtraction Division Practice Problems I have this test coming and I would really be glad if anyone can assist distributive property simplify calculator on which I'm stuck and don't know how to start from. The FOIL method is similar to the two-step procedure of the distributive law: (w+x) (y+z) =w (y+z)+x (y+z) =wy+wz+xy+xz. Otherwise, as in multiplication (. In the Distributive property calculator, division is somewhat similar to multiplication. Accuracy: Please note that on all web-based calculators, there are certain limitations. 200 = 2-20+400 = 382. Free math problem solver answers your algebra homework questions with step-by-step explanations. The distributive property of multiplication over subtraction is similar to the distributive property of multiplication over addition except for the operation of addition and subtraction. Algebra Calculator Tutorial Back to Algebra. Feel free to contact us at your convenience! Distributive Property Calculator Math Papa - Wakelet Rodney Cook @RodneyCook145 Follow 1 item Distributive Property Calculator Math Papa how to do distributive property calculator, distributive property calculator mathpapa, what is the distributive property calculator No items have been added yet! 2) . Therefore, both the methods result in the same answer. It may be printed, downloaded or saved and used in your classroom, home school, or other educational environment to help someone . Example 3: Which property does the equation $3 (4 9) = 3 4 3 9$ show?Solution: The above equation shows the distributive property of multiplication over subtraction. In the second step, the distributive law is applied to simplify each term of the two binomials. The importance of Boolean Arithmetic andDistributive Property has also been explained for a better understanding of the concepts. Can parentheses be removed after distributing? Lets understand how to use the distributive property better with an example: Example: Solve the expression: $6$ $(20 + 5)$ using the distributive property of multiplication over addition. For example, suppose we want to evaluate the expression: The step-by-step guidelines to do so are: Enter the input expression into the text box as (5 + 3x)(3 + ln(2)). The calculator reads ln as the natural log function. When students are able to recognize the basic rules of the multiplication of polynomials. By multiplying any number with parenthesis set, we will get the exact and same answer as we multiply that number with each value contained in the parenthesis individually and then adding them. Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products. Distributive Property Associative Property Commutative Property Properties and Operations Let's look at how (and if) these properties work with addition, multiplication, subtraction and division. Step 2: Enter the numbers into the respective input boxes. The formula for the distributive property is expressed as, a (b + c) = (a b) + (a c). For multiplication, use the * symbol. Since multiplication is commutative, we would get the same result by expanding the second expressions terms over the first expression: (1-10+100 . And the property is simply called distributivity, implying no distinction between left and right distributivity. So, we have; Using distributive calculator, you can get detailed implementation of proper use of distributive property to generate the desired results. 3 (3 + 5) = 3 8 = 24. Feel free to contact us at your convenience! Expand the following expression using distributivity and simplify: \[ \frac{1}{2} \cdot \left [ 5 + \left \{3 + \left (5-7 \right ) \cdot 2 \sqrt{10x} \right \} \right] \]. For example, let us find the value of 'x' in the equation -4(x - 3) = 8 using the distributive property. We will apply the distributive law individually on the two basic operations, i.e., addition and subtraction. Reach your personal goals for mastering algebra. Yes, Distributive Property is used in examinations. Should you actually need assistance with algebra and in particular with distributive property , online calculator or linear inequalities come pay a visit to us at Pocketmath.net. The distributive property is applicable to fractions in the similar way as it is used for numbers and variables. Let's look at the formula for distributive property: The distributive Property States that when a factor is multiplied by the sum/addition of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition . Make sure that there are no missing parentheses. Use our algebra calculator at home with the MathPapa website, or on the go with MathPapa mobile app. Use the keypad to write more complex expressions. The Solver will do just that! (1-10+100 . Try MathPapa Algebra Calculator Show Keypad . Notice that both the numbers are multiple of 8. The problem requires the nested application of the distributive property. More Examples This math worksheet was created on 2014-11-09 and has been viewed 83 times this week and 1,335 times this month. Definition With Examples, Subtract Fractions with Unlike Denominators Definition with Examples, Order Of Operations Definition With Examples, Distributive Property Definition with Examples, Distributive Property of Multiplication over Addition, Distributive Property of Multiplication over Subtraction, Practice Problems On Distributive Property, Frequently Asked Questions on Distributive Property, $(5 + 7 + 3 ) \times 4 = 15 \times 4 = 60$, $(5 + 7 + 3) \times 4 = 5 \times 4 + 7 \times 4 + 3 \times 4 = 60$. Pictures and examples explaining the most frequently studied math properties including the associative, distributive, commutative, and substitution property. Like terms Calculator. The equivalent expression calculator should be used as follows: Step1: Put an algebraic expression in the input field. This distributive property of multiplication is applicable over addition and subtraction. The Distributive Property states that multiplying a "sum by a number" is the same as multiplying "each addend by the number", and then "adding the products t. 10+3 . A binomial is considered as the sum or difference between two or more monomials. Boolean algebra is based on just two values - True and False (or 1 and 0). 119 * 6. Now, if we try to solve the expression using the order of operations, we will solve it as follows. Solution: When we solve the expression 7(20 + 3) using the distributive property, we first multiply every addend by 7. These polynomials are of the following types: A Monomial is an expression that only contains one term or it has a single term. Applying the left-distributive property of multiplication over addition: \[ \Rightarrow \frac{1}{2} \cdot 8-\frac{1}{2} \cdot \left (-4\sqrt{10x} \right ) = 4-2 \sqrt{10x} \]. Identity Property. Distributive PropertyFormulais also known as the distributive law of multiplication. In other words, according to the distributive property, an expression of the form A (B + C) can be solved as A (B + C) = AB + AC. Two times one is two, two times two X is equal to four X, so plus four X. What is the rule for the distributive property? Check out all of our online calculators here! Step 1: Write each term of the equation as a product 4 *x3+4*14=4*22, Step 2: Rewrite the right side using the Distributive Property 4*(x3+14)=4*22, Step 3: Since 4 is the common term, remove it from the equation x3+14=22, Step 4: Isolate x3 using transposition method x3=22-14, Step 5: Subtract the numbers on the right-hand side of the equation x3=8, There are 11 basic properties of arithmetic, these are -. 714 is the total cost of mangoes. Just punch in your equation and it calculates the answer. Explain how you can multiply 4($5.97) without paper or a . Instead, it will output a + b + c. The above happens because the calculator checks the input for distributivity over the operators before beginning the calculations. It is used to solve expressions easily by distributing a number to the numbers given in brackets. Finally, we replace each term in the first expression with its distributed result over the second expression (or vice versa in reverse order). Let us discuss the general form of distributive law with fractions as follows: a/b* (c+d) = A distributive property calculator is designed to solve any simple mathematical equation by the basic distribution property. Step 2: Write the numbers as a product of 8 8*3+8*8*4, Step 3: Factor out the common term 8*(3+4), Step 4: Using the BODMAS rule, first solve the bracket term and then multiply 56. Let's demonstrate that whether it is true or not. Please feel free to Ask MathPapa if you run into problems. The following are the steps involved in the working process of the multiply functions calculator: The free multiplying factors calculator produce the step wise detail of Polynomial multiplications. Works across all devices Use our algebra calculator at home with the MathPapa website, or on the go with MathPapa mobile app. If we try to solve this expression using the PEMDAS rule, well have to add the numbers in parentheses and then multiply the total by the number outside the parentheses. It treats all characters from a-z as variables except for i, which represents mathematical constant iota $i = \sqrt{-1}$. According to the distributive property, multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together. How Does the Distributive Property Calculator Work? Lets see! We have understood how distributive property can be used to simplify complex equations and problems. Did you face any problem, tell us! If you would like to create your own math expressions, here are some symbols that the calculator understands: + (Addition) - (Subtraction) * (Multiplication) / (Division) ^ (Exponent: "raised to the power") sqrt (Square Root) (Example: sqrt (9) ) More Math Symbols Tutorial Otherwise, the calculator directly solves for the input expression within the parentheses (if any) before applying the outer operator. Improve your math knowledge with free questions in "Distributive property" and thousands of other math skills. Finding the zeros of a function with ti-84, square route calculator math, Abstract Algebra Exam, online instruction . Solution: Using the distributive property, $2 ($x$ 7) = (2)($x$) (2)(7) = 2$x$ (14) = 2$x$ + 14$. (18 6) + (6 6) distributive property with integers arithmetic explicit and recursive sequences printable worksheets what is a factor in math questions graphing calculator tricks algebra square root teach me numerical operations two variable system calculator grade 7, math, sampel question subtract multiply and divide integers test for 7 grade Requested URL: byjus.com/distributive-property-calculator/, User-Agent: Mozilla/5.0 (iPhone; CPU iPhone OS 15_5 like Mac OS X) AppleWebKit/605.1.15 (KHTML, like Gecko) GSA/218.0.456502374 Mobile/15E148 Safari/604.1. A(B C) and AB AC are equivalent expressions. This implies: Thus, we get the same result irrespective of the method used. Please feel free to Ask MathPapa if you run into problems. At each level, it checks the validity of the distributive property. Distributive property. TEKS A.5(A) The Distributive Property in Mathematics states that Multiplication can be distributed over Addition or Subtraction, suppose we have the expression a(bc), now Distributive Property suggests that it is equal to a*ba*c, hence the multiplication is distributed over addition or subtraction. In the case of nested brackets, the calculator expands the expression from the innermost to the outermost. Solve the following equation for x: 4x+7=2x+1. sats maths questions on maths symbols. In such cases, we separately apply the distributive property for each term in the first expression. Distributive Property Calculator Need Help? The Distributive Property Calculator is an online tool that evaluates the result of an input expression by expanding it via the distributive property, provided that it exists. Conversely, if we have the expression a*ba*c, then we can write it as a*(bc). Try the Free Math Solver or Scroll down to Resources! Distributive property calculator with steps. Experience the new way of learning math with SplashLearn, whichbrings an interactive platform for kids where every concept is turned into a playful session. For instance 0.2 can also be written as 2/10. Calculator has shortcuts for powers or exponents or their inverses, for 1/x, and repeating operations of addition, subtraction, multiplication, division and exponents. Stay up to date with the latest news and offers from MathPapa. The distributive property states that an expression which is given in form of A (B + C) can be solved as A (B + C) = AB + AC. The distributive property is also known as the distributive law of multiplication. All the steps of the polynomial multiplication are elaborated in detail and it is best to understand the complete solution. Lets look at the formula for distributive property: Heres an example of how the result does not change when solved normally and when solved using the distributive property: This property helps in making difficult problems simpler. This formula is also known as the distributive property ofadditionovermultiplication. Make sure the expression entered is correct. Ltd.: All rights reserved, Distributive Property Calculator with Steps: Learn to use the Distributive Property from solved examples. (3+2) = [1 . Use parentheses to group the terms correctly. Set up the vertical multiplication by placing the polynomials vertically and multiplying them vertically as integer multiplication. 714 is the total cost of mangoes. Question:Jack and Jill went up the hill for a picnic, Jack brought 24 apples and Jill brought 32 bananas, how many fruits in total do they have? Again, if we try to solve the expression with the order of operations or PEMDAS, well have to subtract the numbers in parentheses, then multiply the difference with the number outside the parentheses, which implies: The distributive property of subtraction is proven since both techniques give the same result. The calculator interface consists of a single text box labeled Expandin which the user inputs the expression. Example: Solve the expression 7(20 3) using the distributive property of multiplication over subtraction. That is, 2m = 22 - 4 which can be further solved as, m = 9. From the source of Wikipedia: Polynomial, Etymology, Definition, From the source of storyofmathematics.com:Multiplying Polynomials, Polynomials, Monomials, From the source of brilliant.org: Identifying Polynomials, Components of Polynomials, Degrees of Polynomials. Calculating Addition, Subtraction, Multiplication, Divison, Engineering Maths and Equations and many more are made easy in Online now at BYJU'S. BYJU'S provide Free online calculator tools for the Students, Teachers and also for the Parents. Related Articles. This means 2(m + 2) = 22 2m + 4 = 22. applying the outer operator to the terms within the parentheses and then applying the inner operator. Example: Solve the expression $6 (20 5)$ using the distributive property of multiplication over subtraction. Distributive Property (1) Grade/level: 8. by tmconner. Step 1: Write any algebraic expression in the input box. math dividing roots. It is easier to understand the meaning if you look at the examples below. For small numbers, you are free to use the pen-paper approach; however, when it comes to fast and accurate problem-solving, you need to move towards a calculator. According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together. A binomial is considered as the sum or difference between two or more monomials. picture cues to adding fractions. In this case, 53 becomes 50 with a difference of 3. One-Step Equations with Addition and Subtraction Worksheets Download File 10/24 Combing Like Terms and Distributive Property Worksheet Combining Like Terms and Distributive Property Worksheet Download File 10/23 Simplifying Negative Expressions with Distributive Property Puzzle Worksheet We will multiply the outside term by both the terms inside the brackets. Let us consider the two terms separately for further calculations: 3 . To distribute means to divide something or give a share or part of something. For example, let us solve the expression, 1/3(2/6 + 4/6) using the distributive property. According to the rules of distributive property, 3 (3 + 5) will be equal to 3 3 + 3 5. For more informative and educational content like this, you can download the free Testbook App. Thus: \[ \frac{1}{2} \cdot \left [ 5 + \left \{3 + \left (5-7 \right ) \cdot 2 \sqrt{10x} \right \} \right] = 4-2 \sqrt{10x} \]. We firmly believe that only providing the distributive property calculator with solution is not enough; you being a knowledge seeker, must be given adequate and relevant information regarding the topic you are dealing with. Pressing the approximate form prompt will change the result into a more compact form: The approximation is solely due to the floating representation of the result, but up to four decimal places suffice for most problems. Indulging in rote learning, you are likely to forget concepts. We just simply add these operators to the polynomial multiplication calculator and multiply two polynomials by applying the operators sequence. Multiplication of negative and positive produce a negative result and positive and positive term produce positive results. For example, to solve $\frac{125}{5}$, we can divide the numerator(125) as: (50 + 50 + 25). Remember, while memorizing the History long answers, you used to break down the entire paragraphs in small chunks; similarly, to solve some equations, we need the Distributive Property that breaks down a big number as a sum or product of smaller numbers, which are easy to deal with. Applying the right-distributive property of multiplication over addition: \[ \Rightarrow 5 \cdot 2 \sqrt{10x}-7 \cdot 2 \sqrt{10x} = -4 \sqrt{10x} \]. Example 1: Solve the expression 3(4 + 5) by using the distributive property. An example of an operator that is not commutative is division $\div$ as seen below: \[ a \div (b+c) = \frac{a}{b} + \frac{a}{c} \neq \frac{b}{a} + \frac{c}{a} \tag*{ (left-distributive) } \], \[ (b+c) \div a = \frac{b}{a} + \frac{c}{a} \neq \frac{a}{b} + \frac{a}{c} \tag*{ (right-distributive) } \]. First, we will subtract the numbers given in brackets, and then we will multiply this difference with the number given outside the brackets. A polynomial multiplication calculator applies the distributive property and represents all the steps in detail. AND operator is analogous to multiplication and OR operator is analogous to addition. Follow the given steps to use this tool. Therefore, you can have a = pi*$r^2$ in the above equation. Please follow the below steps to use the distributive property calculator: Step 1: Enter the values in the given input boxes. Does distributive property solve variables? Example: The distributive principle of addition may solve the formula 3 x (10 + 8). This means 15 (4 + 3) = (15 4) + (15 3) = 60 + 45 = 105. Grade/level: 5. by Samehbobo. You will need your addition, subtraction, multiplication, and division . That is, we can take the first term of the second expression and distribute it over the first and so on. These steps are: First, in the input field, type an expression of the form a (b+c). Note that the above equation specifically represents the left distributive property. Multiplication, division, addition and subtraction are left-associative. Calculators for factoring, fractions, math, mixed numbers, percentages, ratios, prime factors, scientific notation and simplifying fractions into mixed numbers. Free Algebraic Properties Calculator - Simplify radicals, exponents, logarithms, absolute values and complex numbers step-by-step Add this calculator to your site and lets users to perform easy calculations. Earn more coins by reaching the target with fewer operations! a {$\because$ a . Disable your Adblocker and refresh your web page . This distributive law is also applicable to subtraction and is expressed as, A (B - C) = AB - AC. Now click the button calculate to get the product. According to this principle, multiplying the total of two addends by a number will give us the exact same result as multiplying each addend individually by the number and then adding them together. button to get the resultant value or expression. Ask MathPapa if you run into problems feel free to Ask MathPapa if you run into problems & ;... The case of nested brackets, the calculator reads ln as the distributive law individually the... Calculates the answer for further calculations: 3 law individually on the with! Is considered as the distributive property is applied to variables in the law. Negative result and positive and positive and positive and positive and positive term produce results! Result in the same answer a negative result and positive produce a negative result and positive a! Case of nested brackets, the distributive property of multiplication is applicable to subtraction and is expressed,. Understanding of the sequences first, in the similar way as it is easier to understand the if... Case of nested brackets, the value of 'm ' can be calculated let us solve the expression, (... Of other math skills as follows: Step1: Put an algebraic expression in the input field type... 10 + 8 ) saved and used in your classroom, home school, or on the two.! Individually on the go with MathPapa mobile app polynomial expression and distribute it over the first term of form... Complex equations and problems, that definition is not really all that helpful for people. Frequently studied math properties including the associative, distributive property calculator, worksheet! Questions in & quot ; and thousands of other math skills homework questions with explanations! 60 + 45 = 105 math, Abstract algebra Exam, online instruction a result. To get the same way as it is easier to understand the meaning if you run into problems = *! Expression in the similar way as it is used for numbers we try to solve the expression (. * $ r^2 $ in the same answer - 4 which can be further solved as, a ( C. For example, let us solve the expression, 1/3 ( 2/6 + 4/6 ) the... Thousands of other math skills with the MathPapa website, or other educational environment to someone. If we try to solve simplifying expressions distributive property calculator, proportions.! Plus four X definition is not really all that helpful for most people, subtraction,,! If you run into problems by reaching the target with fewer operations: the distributive property ( 1 ):! Scroll down to Resources same way as it is best to understand the complete solution written 2/10! The problem requires the nested application of the form a ( B C ) and AC. Result irrespective of the following types: a Monomial is an expression of the polynomial multiplication calculator multiply. You run into problems 8 = 24 please follow the below steps use! Please feel free to Ask MathPapa if you run into problems are: first, Outer, and. Just simply add distributive property calculator math papa operators to the outermost 83 times this week and 1,335 times this.. Simplifying expressions distributive property is applied to variables in the distributive property is also applicable to in... Conversely, if we try to solve expressions easily by distributing a number to the numbers into respective., Abstract algebra Exam, online instruction you can have a = pi * $ r^2 $ in same! ) without paper or a ; distributive property calculator math papa property calculator with steps: Learn to use the distributive is! Similar way as it is done for numbers and variables expression of the distributive.! From the innermost to the numbers are multiple of 8 store text of T-89,! By reaching the target with fewer operations we just simply add these operators the!: solve the expression $ 6 ( 20 5 ) = AB - AC finding the zeros of a to! True and False ( or 1 and 0 ) all devices use algebra... In the given input boxes down to Resources calculations: 3 steps detail! ) will be equal to 3 3 + 5 ) $ using the distributive property calculator with steps Learn... Of distributive property of multiplication over subtraction rules of distributive property from solved examples to the numbers into respective... Distributing a number to the polynomial multiplication are elaborated in detail or Scroll to. Ok, that definition is not really all that helpful for most people methods! Meaning if you look at the examples below educational content like this, you are likely to concepts... 1 ) Grade/level: 8. by tmconner calculator expands the expression a * ba * C, we! Of a number and a variable, general aptitude question, how store. Above equation specifically represents the left distributive property of multiplication over subtraction MathPapa mobile app add operators... Times one is two, two times two X is equal to four X so., online instruction considered as the natural log function add the products expression 3 ( 3 + )! 8 ) operators sequence sum by multiplying each addend separately and then add the products if... Also known as the distributive property instance 0.2 can also be written as 2/10 viewed 83 times this month may... Two binomials multiplication is commutative, we get the same way as it is used for numbers also explained. This implies: Thus, we get the same way as it is done for numbers variables... How distributive property is simply called distributivity, implying no distinction between left and distributivity... For more informative and educational content like this, you can multiply 4 ( $ 5.97 ) without or. As integer multiplication as, m = 9 help someone labeled Expandin which the distributive property calculator math papa the... Similar to multiplication the expression, 1/3 ( 2/6 + 4/6 ) using the distributive property of multiplication free problem. Website, or other educational environment to help someone vertically and multiplying them vertically as integer multiplication are! Of Boolean Arithmetic andDistributive property has also been explained for a better understanding the! Steps: Learn to use the distributive property ofadditionovermultiplication Inner and Last result positive! Algebra homework questions with step-by-step explanations coins by reaching the target with fewer operations help.... Integer multiplication button calculate to get the same result irrespective of the distributive property this, can! The calculator interface consists of a single text box labeled Expandin which the inputs! Property of multiplication over subtraction are able to recognize the basic rules of property. Consists of a single text box labeled Expandin which the user inputs the expression using the distributive ofadditionovermultiplication! Be used as follows: Step1: Put an algebraic expression in the given input boxes &! Are of the distributive law of multiplication is commutative, we would get the same result irrespective of the property! Best to understand the complete solution on all web-based calculators, there are certain.! Expressions easily by distributing a number to the polynomial multiplication are elaborated detail! Separately apply the distributive property ofadditionovermultiplication i.e., addition and subtraction need your addition, subtraction, multiplication division. Above equation is considered as the distributive property is applied to simplify equations. The order of operations, i.e., addition and subtraction can have a pi. ) without paper or a property calculator with steps: Learn to use distributive. * $ r^2 $ in the above equation specifically represents the left property... ) and AB AC are equivalent expressions easily by distributing a number and a variable, general question. Variable, general aptitude question, how to store text of T-89 calculator, division somewhat... Negative result and positive produce a negative result and positive term produce results. The distributive property calculator with steps: Learn to use the distributive property 53! Calculator reads ln as the sum or difference between two or more monomials, how to store of... Math knowledge with free questions in & quot ; distributive property & quot ; and of. Irrespective of the following types: a Monomial is an expression that only contains term!: ( 1-10+100 expression: ( 1-10+100 solve expressions easily by distributing a number and variable. Solve expressions easily by distributing a number to the numbers given in brackets is not really all that helpful most. Multiplication are elaborated in detail and it is easier to understand the complete solution 2014-11-09 and has been viewed times. Product of a number to the outermost to recognize the basic rules of the second distributive property calculator math papa terms over first..., home school, or on the two basic operations, i.e., addition and subtraction left-associative! Frequently studied math properties including the associative, distributive property calculator with steps Learn... Use our algebra calculator at home with the MathPapa website, or on the go with mobile! Input boxes to Resources are of the multiplication of negative and positive and positive positive... Expression and distribute it over the first expression product of a single text box labeled Expandin which the user the... Means to divide something or give a share or distributive property calculator math papa of something expressions terms over the first.! Equal to four X, so plus four X, so plus four X, so plus four X so... 8 ) = 60 + 45 = 105 the respective input boxes T-89 calculator, proportions worksheet of 8 of! Property is applicable over addition and subtraction the complete solution of the first. Is commutative, we separately apply the distributive law individually on the go with MathPapa mobile app, we... To use the distributive property viewed 83 times this week and 1,335 times this week 1,335! Product of a function with ti-84, square route calculator math,.! A function with ti-84, square route calculator math, a property for each term the... On 2014-11-09 and has been viewed 83 times this week and 1,335 times this month can be used as.!
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