Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter R - Section R.4 - Properties of Real Numbers - R.4 Exercises: 38

Answer

$-23m-2$

Work Step by Step

The distributive property holds that $a(b+c)=ab+ac$ (for real numbers $a$, $b$, and $c$). We are given the expression $-(7m-12)-2(4m+7)-8m$. We can use the distributive property to simplify the terms in parentheses and combine like terms. $-(7m-12)-2(4m+7)-8m=(-1\times7m)+(-1\times-12)+(-2\times4m)+(-2\times7)-8m=(-7m)+(12)+(-8m)+(-14)-8m=(-7-8-8)m+(12-14)=(-23)m+(-2)=-23m-2$
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