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Use the distributive property to write an equivalent variable expression. (Lesson 2.2)

-9(2x+12)

Short Answer

Expert verified

The equivalent expression for -9(2x+12) is -18x-108.

Step by step solution

01

.  Recall the distributive property

The distributive property is given as, a(b+c)=ab+ac.

02

.  Simplify the expression

Now, use distributive property to simplify the given expression.

−9(2x+12)=−9(2x)+(−9)(12)​â¶Ä‹[​â¶Ä‹Distributiveproperty.​â¶Ä‹]​â¶Ä‹=−18x+(−108)​â¶Ä‹[​â¶Ä‹Multiply.​â¶Ä‹]​â¶Ä‹=−18x−108​â¶Ä‹[​â¶Ä‹Definitionofsubstraction.​â¶Ä‹]​â¶Ä‹

03

. Conclusion 

The equivalent expression for-9(2x+12) is -18x-108.

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