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(z/3)+(3/4)z=(9/2)(z-1)
We simplify the equation to the form, which is simple to understand
(z/3)+(3/4)z=(9/2)*(z-1)
Remove unnecessary parentheses
+ 0.33333333333333z+( + 0.75)*z=(+4.5)*(z-1)
Reorder the terms in parentheses
+ 0.33333333333333z+( + 0.75z)=(+4.5)*(z-1)
Remove unnecessary parentheses
+ 0.33333333333333z + 0.75z=+(+4.5+)+*(+z-1+)
Reorder the terms in parentheses
multiplication of parentheses
+ 0.33333333333333z + 0.75z=(+4.5z-4.5)
Remove unnecessary parentheses
+ 0.33333333333333z + 0.75z=+4.5z-4.5
We move all terms containing z to the left and all other terms to the right.
+ 0.33333333333333z + 0.75z-4.5z=-4.5
We simplify left and right side of the equation.
-3.4166666666667z=-4.5
We divide both sides of the equation by -3.4166666666667 to get z.
z=1.3170731707317
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