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6(z-3)+3(3z-4)=0
We simplify the equation to the form, which is simple to understand
6(z-3)+3(3z-4)=0
Reorder the terms in parentheses
+(+6z-18)+3*(3z-4)=0
Remove unnecessary parentheses
+6z-18+3+*(+3z-4+)=0
Reorder the terms in parentheses
+6z-18+(+9z-12)=0
Remove unnecessary parentheses
+6z-18+9z-12=0
We move all terms containing z to the left and all other terms to the right.
+6z+9z=0+18+12
We simplify left and right side of the equation.
+15z=+30
We divide both sides of the equation by 15 to get z.
z=2
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