Algebra 1

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

Chapter 2 - Solving Equations - 2-3 Solving Multi-Step Equations - Practice and Problem-Solving Exercises - Page 98: 17

Answer

$p = -10$

Work Step by Step

$17 = p - 3 - 3p$ We begin by combining like terms together as shown below: $17 = p - 3p - 3$ Simplify to get: $17 = -2p - 3$ Next, we need to isolate the variable $p$ by adding $3$ to both sides of the equation as shown below: $17 + 3 = -2p - 3 + 3$ Simplifying, we have: $20 = -2p$ Next, we divide through by the coefficient of the variable as shown below: $\frac{20}{-2} = \frac{-2}{-2}p$ Simplify to get: $-10 = p$ Rearranging, we have: $p = -10$ Therefore the equation has a possible solution at the point $p = -10$
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