Question

Please solve
|q-8|=14

Answer 1

|q-8|=14
q-8=14
q-8+8=14+8
q=22

|q-8|=14
q-8=-14
q-8+8=-14+8
q=-6

q=22 and q=-6

Answer 2

|q-8|=14
q-8=+/-14
q=+/-14+8
q= 14+8, q= -14+8
q=22, q=-6

to get rid if absolute value signs, you put a +/- on the other side. this is because absolute values turn everything positive, so |-(q-8)| gives the same answer as |q-8|. so we must account for both possible solutions.