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10(z+2)-4(z-3)=2(z-1)+3(z-3)
We simplify the equation to the form, which is simple to understand
10(z+2)-4(z-3)=2(z-1)+3(z-3)
Reorder the terms in parentheses
+(+10z+20)-4*(z-3)=2*(z-1)+3*(z-3)
Remove unnecessary parentheses
+10z+20-4+*(+z-3+)=+2+*(+z-1+)+3+*(+z-3+)
Reorder the terms in parentheses
+10z+20+(-4z+12)=2*(z-1)+3*(z-3)
Remove unnecessary parentheses
+10z+20-4z+12=+2+*(+z-1+)+3+*(+z-3+)
Reorder the terms in parentheses
+10z+20-4z+12=+(+2z-2)+3*(z-3)
Remove unnecessary parentheses
+10z+20-4z+12=+2z-2+3+*(+z-3+)
Reorder the terms in parentheses
+10z+20-4z+12=+2z-2+(+3z-9)
Remove unnecessary parentheses
+10z+20-4z+12=+2z-2+3z-9
We move all terms containing z to the left and all other terms to the right.
+10z-4z-2z-3z=-2-9-20-12
We simplify left and right side of the equation.
+1z=-43
We divide both sides of the equation by 1 to get z.
z=-43
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