You can put this solution on YOUR website! |4-z|-10=1
add 10 to both aides
|4-z| = 1 + 10
|4 - z| = 11
two solutions
4 - z = 11
-z = 11 - 4
-z = +7
multiply by -1
z = -7, one solution
and
4 - z = -11
-z = -11 - 4
-z = -15
multiply by -1
z = 15 is the 2nd solution
:
:
You can check both solutions in the original problem