Chapter 3 - Solving Inequalities - 3-7 Absolute Value Equations and Inequalities - Practice and Problem-Solving Exercises - Page 211: 22

$w=-2$ or $w=2$

$-3|2w|=-12\longrightarrow$ divide each side by -3 $-3|2w|\div-3=-12\div-3\longrightarrow$ divide $|2w|=4\longrightarrow$ definition of absolute value $2w=-4$ or $2w=4\longrightarrow$ divide each part by 2 $2w\div2=-4\div2$ or $2w\div2=4\div2\longrightarrow$ divide $w=-2$ or $w=2$