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5(z+4)=7(z-3)
We simplify the equation to the form, which is simple to understand
5(z+4)=7(z-3)
Reorder the terms in parentheses
+(+5z+20)=7*(z-3)
Remove unnecessary parentheses
+5z+20=+7+*(+z-3+)
Reorder the terms in parentheses
+5z+20=+(+7z-21)
Remove unnecessary parentheses
+5z+20=+7z-21
We move all terms containing z to the left and all other terms to the right.
+5z-7z=-21-20
We simplify left and right side of the equation.
-2z=-41
We divide both sides of the equation by -2 to get z.
z=20.5
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