Chapter 3 - Solving Inequalities - 3-7 Absolute Value Equations and Inequalities - Practice and Problem-Solving Exercises - Page 211: 30

$n=2$ or $n=-2$

$|-3n|-2=4\longrightarrow$ add 2 to each side $|-3n|-2+2=4+2\longrightarrow$ add $|-3n|=6\longrightarrow$ definition of absolute value $-3n=-6$ or $-3n=6\longrightarrow$ divide each part by -3 $-3n\div-3=-6\div-3$ or $-3n\div-3=6\div-3\longrightarrow$ divide $n=2$ or $n=-2$