# Solve for n (5n)/8-1/2=3/4 5n8-12=34
Move all terms not containing n to the right side of the equation.
Add 12 to both sides of the equation.
5n8=34+12
To write 12 as a fraction with a common denominator, multiply by 22.
5n8=34+12⋅22
Write each expression with a common denominator of 4, by multiplying each by an appropriate factor of 1.
Multiply 12 and 22.
5n8=34+22⋅2
Multiply 2 by 2.
5n8=34+24
5n8=34+24
Combine the numerators over the common denominator.
5n8=3+24
5n8=54
5n8=54
Multiply both sides of the equation by 85.
85⋅5n8=85⋅54
Simplify both sides of the equation.
Simplify 85⋅5n8.
Cancel the common factor of 8.
Cancel the common factor.
85⋅5n8=85⋅54
Rewrite the expression.
15⋅(5n)=85⋅54
15⋅(5n)=85⋅54
Cancel the common factor of 5.
Factor 5 out of 5n.
15⋅(5(n))=85⋅54
Cancel the common factor.
15⋅(5n)=85⋅54
Rewrite the expression.
n=85⋅54
n=85⋅54
n=85⋅54
Simplify 85⋅54.
Cancel the common factor of 4.
Factor 4 out of 8.
n=4(2)5⋅54
Cancel the common factor.
n=4⋅25⋅54
Rewrite the expression.
n=25⋅5
n=25⋅5
Cancel the common factor of 5.
Cancel the common factor.
n=25⋅5
Rewrite the expression.
n=2
n=2
n=2
n=2
Solve for n (5n)/8-1/2=3/4

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