Answer
z=-2 or z=4
Work Step by Step
First , we could both sides of the equation by 8 , and get the equation /z-1/=3
Based on the property of both negative and positive input value could get positive absolute output value , we could get two conditions of the equations
z-1=3 or z-1=-3
and we add both sides of the equation 1 and can get the final answer z=4 or z=-2