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9(z+3)-2(z-4)=3(z-4)+3(z-1)
We simplify the equation to the form, which is simple to understand
9(z+3)-2(z-4)=3(z-4)+3(z-1)
Reorder the terms in parentheses
+(+9z+27)-2*(z-4)=3*(z-4)+3*(z-1)
Remove unnecessary parentheses
+9z+27-2+*(+z-4+)=+3+*(+z-4+)+3+*(+z-1+)
Reorder the terms in parentheses
+9z+27+(-2z+8)=3*(z-4)+3*(z-1)
Remove unnecessary parentheses
+9z+27-2z+8=+3+*(+z-4+)+3+*(+z-1+)
Reorder the terms in parentheses
+9z+27-2z+8=+(+3z-12)+3*(z-1)
Remove unnecessary parentheses
+9z+27-2z+8=+3z-12+3+*(+z-1+)
Reorder the terms in parentheses
+9z+27-2z+8=+3z-12+(+3z-3)
Remove unnecessary parentheses
+9z+27-2z+8=+3z-12+3z-3
We move all terms containing z to the left and all other terms to the right.
+9z-2z-3z-3z=-12-3-27-8
We simplify left and right side of the equation.
+1z=-50
We divide both sides of the equation by 1 to get z.
z=-50
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