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: 9

Answer

a=-5

Work Step by Step

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