# Solve for n n/2-1=n/6+1 n2-1=n6+1
Move all terms containing n to the left side of the equation.
Subtract n6 from both sides of the equation.
n2-1-n6=1
To write n2 as a fraction with a common denominator, multiply by 33.
n2⋅33-n6-1=1
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
Multiply n2 and 33.
n⋅32⋅3-n6-1=1
Multiply 2 by 3.
n⋅36-n6-1=1
n⋅36-n6-1=1
Combine the numerators over the common denominator.
n⋅3-n6-1=1
Subtract n from n⋅3.
Reorder n and 3.
3⋅n-n6-1=1
Subtract n from 3⋅n.
2⋅n6-1=1
2⋅n6-1=1
Cancel the common factor of 2 and 6.
Factor 2 out of 2⋅n.
2(n)6-1=1
Cancel the common factors.
Factor 2 out of 6.
2n2⋅3-1=1
Cancel the common factor.
2n2⋅3-1=1
Rewrite the expression.
n3-1=1
n3-1=1
n3-1=1
n3-1=1
Move all terms not containing n to the right side of the equation.
Add 1 to both sides of the equation.
n3=1+1
Add 1 and 1.
n3=2
n3=2
Multiply both sides of the equation by 3.
3⋅n3=3⋅2
Simplify both sides of the equation.
Cancel the common factor of 3.
Cancel the common factor.
3⋅n3=3⋅2
Rewrite the expression.
n=3⋅2
n=3⋅2
Multiply 3 by 2.
n=6
n=6
Solve for n n/2-1=n/6+1

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