Solve the equation. If there is no solution, write no solution. 2|n| - 12 = 16

Add 12 to both sides

2|n| = 16 + 12

Simplify 16 + 12 to 28

2|n| = 28

Divide both sides by 2

|n| = 28/2

Simplify 28/2 to 14

|n| = 14

Break down the problem into these 2 equations

n = 14

-n = 14

Solve the 1st equation: n = 14

n = 14

Solve the 2nd equation: - n = 14

n = - 14

When you collect all solutions;

n = ±14