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Q16.

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Algebra 2
Found in: Page 15
Algebra 2

Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903

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Short Answer

Simplify each expression

1216-4a-3412+20a

1216-4a-3412+20a is simplified to -1-17a

See the step by step solution

Step by Step Solution

Step 1 - Write properties of real numbers 

Properties of real numbers are written in following table:

For any real numbers a,b, and c:

Property

Addition

Multiplication

Commutative

a+b=b+a

a·b=b·a

Associative

a+b+c=a+b+c

a·b·c=a·b·c

Identity

a+0=a=0+a

a·1=a=1·a

Inverse

a+-a=0=-a+a

If a0, then a·1a=1=1a·a

Distributive

ab+c=ab+ac and b+ca=ba+ca

Step 2 - Simplify by grouping same variables

To simplify given equation, use commutative and distributive property to group coefficients of same variable as shown below

12164a3412+20a=1216124a34123420a=82a915a=892a15a=892+15a

Step 3 - Simplify parentheses

Simplify parentheses by adding or subtracting the terms as shown below

8-9-2+15a=-1-17a

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