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(5n+1)/8=(3n-5)/4
We simplify the equation to the form, which is simple to understand
(5n+1)/8=(3n-5)/4
Reorder the terms in parentheses
( + 0.625n + 0.125)=(3n-5)/4
Remove unnecessary parentheses
+ 0.625n + 0.125=(3n-5)/4
Reorder the terms in parentheses
+ 0.625n + 0.125=( + 0.75n-1.25)
Remove unnecessary parentheses
+ 0.625n + 0.125=0.75n-1.25
We move all terms containing n to the left and all other terms to the right.
+ 0.625n-0.75n=-1.25-0.125
We simplify left and right side of the equation.
-0.125n=-1.375
We divide both sides of the equation by -0.125 to get n.
n=11
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