Answer
{$-1,-5$}
Work Step by Step
Step 1: $|6+2n|=4$
Step 2: Using the absolute value property, $6+2n=4$ or $6+2n=-4$.
Step 3: $6-6+2n=4-6$ or $6-6+2n=-4-6$
Step 4: $2n=-2$ or $2n=-10$
Step 5: $n=-1$ or $n=-5$
Step 6: Therefore, the solution set is {$-1,-5$}.