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7(z+2)=4(z+1)-8
We simplify the equation to the form, which is simple to understand
7(z+2)=4(z+1)-8
Reorder the terms in parentheses
+(+7z+14)=4*(z+1)-8
Remove unnecessary parentheses
+7z+14=+4+*(+z+1+)-8
Reorder the terms in parentheses
+7z+14=+(+4z+4)-8
Remove unnecessary parentheses
+7z+14=+4z+4-8
We move all terms containing z to the left and all other terms to the right.
+7z-4z=+4-8-14
We simplify left and right side of the equation.
+3z=-18
We divide both sides of the equation by 3 to get z.
z=-6
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