# Chapter 2 - Solving Equations - 2-4 Solving Equations with Variables on Both Sides - Practice and Problem-Solving Exercises - Page 105: 13

q = 6

#### Work Step by Step

3 + 5q = 9 + 4q First, you need to get the variable (q) on one side of the equation, so subtract 4q from both sides of the equation. This will remove the q from the right side of the equation. 3 + 5q - 4q = 9 + 4q - 4q Simplify to get this: 3 + 1q = 9 Subtract 3 from each side. 3 + 1q - 3 = 9 - 3 Simplify to get: 1q = 6 Divide each side by 1. $\frac{1q}{1}$ = $\frac{6}{1}$ Simplify to q = 6

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