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: 4

Answer

m=-4

Work Step by Step

Simplifying 5m + -1(2m + -7) = -5 Reorder the terms: 5m + -1(-7 + 2m) = -5 5m + (-7 * -1 + 2m * -1) = -5 5m + (7 + -2m) = -5 Reorder the terms: 7 + 5m + -2m = -5 Combine like terms: 5m + -2m = 3m 7 + 3m = -5 Solving 7 + 3m = -5 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3m = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 3m = -5 + -7 3m = -5 + -7 Combine like terms: -5 + -7 = -12 3m = -12 Divide each side by '3'. m = -4 Simplifying m = -4
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