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3(z-3)+4z-4=0
We simplify the equation to the form, which is simple to understand
3(z-3)+4z-4=0
Reorder the terms in parentheses
+(+3z-9)+4z-4=0
Remove unnecessary parentheses
+3z-9+4z-4=0
We move all terms containing z to the left and all other terms to the right.
+3z+4z=0+9+4
We simplify left and right side of the equation.
+7z=+13
We divide both sides of the equation by 7 to get z.
z=1.85714285714
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