Chapter 1, Equations and Inequalities - 1.7 Solve Absolute Value Equations and Inequalities - 1.7 Exercises - Skill Practice - Page 55: 18

$$p=2\quad \mathrm{or}\quad \:p=10$$

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: $$6-p=-4\quad \mathrm{or}\quad \:6-p=4 \\ p=2\quad \mathrm{or}\quad \:p=10$$