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 - Page 242: 14

Answer

m=2.4

Work Step by Step

Simplifying 2(5m + -6) + -13 = -1 Reorder the terms: 2(-6 + 5m) + -13 = -1 (-6 * 2 + 5m * 2) + -13 = -1 (-12 + 10m) + -13 = -1 Reorder the terms: -12 + -13 + 10m = -1 Combine like terms: -12 + -13 = -25 -25 + 10m = -1 Solving -25 + 10m = -1 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 10m = -1 + 25 Combine like terms: -25 + 25 = 0 0 + 10m = -1 + 25 10m = -1 + 25 Combine like terms: -1 + 25 = 24 10m = 24 Divide each side by '10'. m = 2.4 Simplifying m = 2.4
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