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2/5(25z-30)=3/4(12z+16)
We simplify the equation to the form, which is simple to understand
2/5(25z-30)=3/4(12z+16)
Simplifying:
+ 0.4*(25z-30)=3/4*(12z+16)
Simplifying:
+ 0.4*(25z-30)=0.75*(12z+16)
Reorder the terms in parentheses
+(+10z-12)=0.75*(12z+16)
Remove unnecessary parentheses
+10z-12=0.75+*(+12z+16+)
Reorder the terms in parentheses
+10z-12=+(+9z+12)
Remove unnecessary parentheses
+10z-12=+9z+12
We move all terms containing z to the left and all other terms to the right.
+10z-9z=+12+12
We simplify left and right side of the equation.
+1z=+24
We divide both sides of the equation by 1 to get z.
z=24
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