Answer
z=-10
Work Step by Step
-2(z-4)-(3z-2)=-2-(6z-2)
-2(z)-2(-4)-(3z)-(-2)=-2-(6z)-(-2)
-2z+8-3z+2=-2-6z+2
(-2z-3z)+(8+2)=-6z+(-2+2)
-5z+10=-6z+0
-5z+6z+10=0
z+10=0
z=-10
Check the answer.
-2(-10-4)-(3(-10)-2)=-2-(6(-10)-2)
-2(-14)-(-30-2)=-2-(-60-2)
28-(-32)=-2-(-62)
28+32=-2+62
60=60