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: 10

Answer

m=12

Work Step by Step

Reorder the terms: 29 = 4 + (1 + 2m) Remove parenthesis around (1 + 2m) 29 = 4 + 1 + 2m Combine like terms: 4 + 1 = 5 29 = 5 + 2m Solving 29 = 5 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 29 + -2m = 5 + 2m + -2m Combine like terms: 2m + -2m = 0 29 + -2m = 5 + 0 29 + -2m = 5 Add '-29' to each side of the equation. 29 + -29 + -2m = 5 + -29 Combine like terms: 29 + -29 = 0 0 + -2m = 5 + -29 -2m = 5 + -29 Combine like terms: 5 + -29 = -24 -2m = -24 Divide each side by '-2'. m = 12 Simplifying m = 12
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