Big Ideas Math - Algebra 1, A Common Core Curriculum

by Larson, Ron; Boswell, Laurie

Published by Big Ideas Learning LLC

ISBN 10: 978-1-60840-838-2

ISBN 13: 978-1-60840-838-2

Chapter 1 - Solving Linear Equations - 1.1 - Solving Simple Equations - Exercises - Page 10: 60

Answer

$5m+5n+15$

Work Step by Step

The Distributive Property states that for any real numbers $a, b$, and $c$: $$a(b+c)=ab+ac$$ Apply the Distributive Property to obtain: $$\begin{align*} 5(m+3+n)&=5(m)+5(3)+5(n)\\ &=5m+15+5n\\ &=5m+5n+15 \end{align*}$$

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