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\frac{\left(n-8\right)\times 2n}{n-1}
Divide n-8 by \frac{n-1}{2n} by multiplying n-8 by the reciprocal of \frac{n-1}{2n}.
\frac{\left(2n-16\right)n}{n-1}
Use the distributive property to multiply n-8 by 2.
\frac{2n^{2}-16n}{n-1}
Use the distributive property to multiply 2n-16 by n.
\frac{\left(n-8\right)\times 2n}{n-1}
Divide n-8 by \frac{n-1}{2n} by multiplying n-8 by the reciprocal of \frac{n-1}{2n}.
\frac{\left(2n-16\right)n}{n-1}
Use the distributive property to multiply n-8 by 2.
\frac{2n^{2}-16n}{n-1}
Use the distributive property to multiply 2n-16 by n.