-6+8(2z-3)=7(3z-6)+7

Solution for -6+8(2z-3)=7(3z-6)+7 equation:

-6+8(2z-3)=7(3z-6)+7

We simplify the equation to the form, which is simple to understand 
-6+8(2z-3)=7(3z-6)+7

Reorder the terms in parentheses
-6+(+16z-24)=7*(3z-6)+7

Remove unnecessary parentheses
-6+16z-24=+7+*(+3z-6+)+7

Reorder the terms in parentheses
-6+16z-24=+(+21z-42)+7

Remove unnecessary parentheses
-6+16z-24=+21z-42+7

We move all terms containing z to the left and all other terms to the right. 
+16z-21z=-42+7+6+24

We simplify left and right side of the equation. 
-5z=-5

We divide both sides of the equation by -5 to get z. 
z=1