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-17(z+3)+6(4z-6)=6(z-5)+9
We simplify the equation to the form, which is simple to understand
-17(z+3)+6(4z-6)=6(z-5)+9
Reorder the terms in parentheses
+(-17z-51)+6*(4z-6)=6*(z-5)+9
Remove unnecessary parentheses
-17z-51+6+*(+4z-6+)=+6+*(+z-5+)+9
Reorder the terms in parentheses
-17z-51+(+24z-36)=6*(z-5)+9
Remove unnecessary parentheses
-17z-51+24z-36=+6+*(+z-5+)+9
Reorder the terms in parentheses
-17z-51+24z-36=+(+6z-30)+9
Remove unnecessary parentheses
-17z-51+24z-36=+6z-30+9
We move all terms containing z to the left and all other terms to the right.
-17z+24z-6z=-30+9+51+36
We simplify left and right side of the equation.
+1z=+66
We divide both sides of the equation by 1 to get z.
z=66
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