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5-3(-4z+5)=7(6z+2)+6
We simplify the equation to the form, which is simple to understand
5-3(-4z+5)=7(6z+2)+6
Reorder the terms in parentheses
5+(+12z-15)=7*(6z+2)+6
Remove unnecessary parentheses
+5+12z-15=+7+*(+6z+2+)+6
Reorder the terms in parentheses
5+12z-15=+(+42z+14)+6
Remove unnecessary parentheses
+5+12z-15=+42z+14+6
We move all terms containing z to the left and all other terms to the right.
+12z-42z=+14+6-5+15
We simplify left and right side of the equation.
-30z=+30
We divide both sides of the equation by -30 to get z.
z=-1
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