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 - Page 38: 33

Answer

$-3m+2$

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 $-2(m+1)-(m-4)$. We can use the distributive property to simplify the terms in parentheses and combine like terms. $-2(m+1)-(m-4)=(-2\times m)+(-2\times1)+(-1\times m)+(-1\times-4)=(-2m)+(-2)+(-m)+(4)=(-2-1)m+(-2+4)=(-3)m+(2)=-3m+2$
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