Chapter 1, Equations and Inequalities - 1.7 Solve Absolute Value Equations and Inequalities - 1.7 Exercises - Skill Practice - Page 55: 25

$$q=-7\quad \mathrm{or}\quad \:q=4$$

Since the value inside the absolute value can be positive or negative and get the same number, we must consider both options. Doing this, we find: $$2q+3=-11\quad \mathrm{or}\quad \:2q+3=11 \\ q=-7\quad \mathrm{or}\quad \:q=4$$