Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 2 - Solving Equations - 2-4 Solving Equations with Variables on Both Sides - Practice and Problem-Solving Exercises: 15

Answer

n = -4

Work Step by Step

3n - 5 = 7n + 11 First, you need to get the variable (n) on one side of the equation, so subtract 3n from both sides of the equation. This will remove the n from the left side of the equation. 3n - 5 - 3n = 7n + 11 - 3n Simplify to get this: -5 = 4n + 11 Subtract 11 from each side. -5 - 11 = 4n + 11 - 11 Simplify to get: -16 = 4n Divide each side by 4. $\frac{-16}{4}$ = $\frac{4n}{4}$ Simplify to n = -4 We check our answer to find that our answer is, indeed, correct.
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