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: 7

Answer

a=6

Work Step by Step

Reorder the terms: 5a + -1(4 + 3a) = 8 5a + (4 * -1 + 3a * -1) = 8 5a + (-4 + -3a) = 8 Reorder the terms: -4 + 5a + -3a = 8 Combine like terms: 5a + -3a = 2a -4 + 2a = 8 Solving -4 + 2a = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2a = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 2a = 8 + 4 2a = 8 + 4 Combine like terms: 8 + 4 = 12 2a = 12 Divide each side by '2'. a = 6 Simplifying a = 6
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