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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 2: Q. 2.14 (page 209)

$Solve: 4 (q + 2) - 3 q = - 8.$

Short Answer

Expert verified

The solution for the given equation is $q = - 16$ .

Step by step solution

01

Step 1. Given information

The given equation is $4 (q + 2) - 3 q = - 8.$

We have to solve the given equation

02

Step 2. Explanation

$\begin{array}{l} Simplify \\ \Rightarrow 4 (q + 2) - 3 q = - 8 \\ \Rightarrow 4 q + 8 - 3 q = - 8 \\ Rearrangetheterms \\ \Rightarrow 4 q - 3 q + 8 = - 8 \\ Simplifedasmuchaspossible \\ \Rightarrow q + 8 = - 8 \\ Subtrct8boththeside \\ \Rightarrow q + 8 - 8 = - 8 - 8 \\ \Rightarrow q = - 16 \end{array}$

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Most popular questions from this chapter

In the following exercises, solve each equation using the Division and Multiplication Properties of Equality and check the solution.

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