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10(z+1)-4(z-3)=3(z-4)+2(z-1)
We simplify the equation to the form, which is simple to understand
10(z+1)-4(z-3)=3(z-4)+2(z-1)
Reorder the terms in parentheses
+(+10z+10)-4*(z-3)=3*(z-4)+2*(z-1)
Remove unnecessary parentheses
+10z+10-4+*(+z-3+)=+3+*(+z-4+)+2+*(+z-1+)
Reorder the terms in parentheses
+10z+10+(-4z+12)=3*(z-4)+2*(z-1)
Remove unnecessary parentheses
+10z+10-4z+12=+3+*(+z-4+)+2+*(+z-1+)
Reorder the terms in parentheses
+10z+10-4z+12=+(+3z-12)+2*(z-1)
Remove unnecessary parentheses
+10z+10-4z+12=+3z-12+2+*(+z-1+)
Reorder the terms in parentheses
+10z+10-4z+12=+3z-12+(+2z-2)
Remove unnecessary parentheses
+10z+10-4z+12=+3z-12+2z-2
We move all terms containing z to the left and all other terms to the right.
+10z-4z-3z-2z=-12-2-10-12
We simplify left and right side of the equation.
+1z=-36
We divide both sides of the equation by 1 to get z.
z=-36
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