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3(z-5)+4z-3=0
We simplify the equation to the form, which is simple to understand
3(z-5)+4z-3=0
Reorder the terms in parentheses
+(+3z-15)+4z-3=0
Remove unnecessary parentheses
+3z-15+4z-3=0
We move all terms containing z to the left and all other terms to the right.
+3z+4z=0+15+3
We simplify left and right side of the equation.
+7z=+18
We divide both sides of the equation by 7 to get z.
z=2.57142857143
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