Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 2 - Section 2.1 - The Additon Property of Equality - Exercise Set: 33

Answer

n = 21

Work Step by Step

3(n - 5) - (6 - 2n) = 4n Apply distributive property: 3(n) + 3(-5) - 6 - (-2n) = 4n 3n - 15 - 6 + 2n = 4n Combine like terms: 5n - 21 = 4n Subtract 4n from both sides: n - 21 = 0 Add 21 from both sides: n = 21 Check with substitution: 3(21 - 5) - (6 - 2(21)) = 4(21) 3(16) - (6 - 42) = 84 48 - (-36) = 84 84 = 84
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