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: 37



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 $-(2p+5)+3(2p+4)-2p$. We can use the distributive property to simplify the terms in parentheses and combine like terms. $-(2p+5)+3(2p+4)-2p=(-1\times2p)+(-1\times5)+(3\times2p)+(3\times4)-2p=(-2p)+(-5)+(6p)+(12)-2p=(-2+6-2)p+(-5+12)=(2)p+(7)=2p+7$
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