Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.1 - Linear Equations in One Variable - Exercise Set - Page 55: 22



Work Step by Step

We are given that $-4(3n-2)-n=-11(n-1)$. In order to solve for n, we can first use the distributive property to simplify both sides. $-4\times(3n-2)-n=-11\times(n-1)$ $-12n+8-n=-11n+11$ Group like terms on the left side. $-13n+8=-11n+11$ Add 13n to both sides. $8=2n+11$ Subtract 11 from both sides. $-3=2n$ Divide both sides by 2. $n=-\frac{3}{2}$
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