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: 34



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 $6(a-5)-(a+6)$. We can use the distributive property to simplify the terms in parentheses and combine like terms. $6(a-5)-(a+6)=(6\times a)+(6\times-5)+(-1\times a)+(-1\times6)=(6a)+(-30)+(-a)+(-6)=(6-1)a+(-30-6)=(5)a+(-36)=5a-36$
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