Answer
n=8
Work Step by Step
We can multiply by $n$ assuming that $n\ne 0$ because it's the denominator of a fraction:
$360 + 135n = 180n$
We subtract $135n$ from both sides:
$ 360 = 180n - 135n = 45n$
We divide by 45:
$360\div 45 = 8 = n$