Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 6 - Section 6.3 - Equations with Parentheses - Exercises: 8

Answer

b=5

Work Step by Step

Reorder the terms: 2(4 + b) + -3 = 15 (4 * 2 + b * 2) + -3 = 15 (8 + 2b) + -3 = 15 Reorder the terms: 8 + -3 + 2b = 15 Combine like terms: 8 + -3 = 5 5 + 2b = 15 Solving 5 + 2b = 15 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2b = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 2b = 15 + -5 2b = 15 + -5 Combine like terms: 15 + -5 = 10 2b = 10 Divide each side by '2'. b = 5 Simplifying b = 5
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