Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 2 - Solving Equations - 2-3 Solving Multi-Step Equations - Practice and Problem-Solving Exercises - Page 98: 30


$b=-4 $

Work Step by Step

The fractions on the left side of the equation already have a common denominator of 13. Thus, we can subtract the numerators to get that $-2b/13=8/13$. To cancel out the two denominators, we multiply both sides of the equation by 13 to get that $-2b=8$. In order to cancel out multiplication, we use division, so we divide both sides by -2 to get that $b=-4$. We plug -4 in for b and confirm that our answer is, indeed, correct.
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