3z-2(2z+4)=-3z-4(2+z)

Solution for 3z-2(2z+4)=-3z-4(2+z) equation:

3z-2(2z+4)=-3z-4(2+z)

We simplify the equation to the form, which is simple to understand 
3z-2(2z+4)=-3z-4(2+z)

Reorder the terms in parentheses
3z+(-4z-8)=-3z-4*(2+z)

Remove unnecessary parentheses
+3z-4z-8=-3z-4+*(+2+z+)

Reorder the terms in parentheses
3z-4z-8=-3z+(-8-4z)

Remove unnecessary parentheses
+3z-4z-8=-3z-8-4z

We move all terms containing z to the left and all other terms to the right. 
+3z-4z+3z+4z=-8+8

We simplify left and right side of the equation. 
+6z=0

We divide both sides of the equation by 6 to get z. 
z=0