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: 20

Answer

a=-7

Work Step by Step

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