Answer
$n = 8$
Work Step by Step
1. Multiply by $n$ on both sides to remove the fractions in the equation.
$\frac{90-n}{n} = 10 + \frac{2}{n}$
$90-n = 10n + \frac{2n}{n}$
2. Cancel out the $n$'s in the fraction
$90-n = 10n + 2$
3. Solve for $n$
$90 - n - 10n - 2 = 0$
$88 - 11n = 0$
$11(8 - n) = 0$
$8 -n = 0$
$-n = -8$
$n = 8$
