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4(10z-5)=5(9z-7)
We simplify the equation to the form, which is simple to understand
4(10z-5)=5(9z-7)
Reorder the terms in parentheses
+(+40z-20)=5*(9z-7)
Remove unnecessary parentheses
+40z-20=+5+*(+9z-7+)
Reorder the terms in parentheses
+40z-20=+(+45z-35)
Remove unnecessary parentheses
+40z-20=+45z-35
We move all terms containing z to the left and all other terms to the right.
+40z-45z=-35+20
We simplify left and right side of the equation.
-5z=-15
We divide both sides of the equation by -5 to get z.
z=3
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