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2/5(z-1/2)=1/8(z+4/5)
We simplify the equation to the form, which is simple to understand
2/5(z-1/2)=1/8(z+4/5)
Reorder the terms in parentheses
+( + 0.4z-0.2)=0.125*(z + 0.8)
Remove unnecessary parentheses
+ 0.4z-0.2=0.125+*(+z + 0.8+)
Reorder the terms in parentheses
+ 0.4z-0.2=+( + 0.125z + 0.1)
Remove unnecessary parentheses
+ 0.4z-0.2=0.125z + 0.1
We move all terms containing z to the left and all other terms to the right.
+ 0.4z-0.125z=0.1 + 0.2
We simplify left and right side of the equation.
+ 0.275z=0.3
We divide both sides of the equation by 0.275 to get z.
z=1.0909090909091
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