Answer
$n=1$
Work Step by Step
We start by creating a common denominator for all of the fractions:
$\frac{8n}{16}-\frac{2n}{16}=\frac{6}{16}$
We now can combine the denominators on the same side of the equation:
$\frac{6n}{16}=\frac{6}{16}$
We then multiply both sides by 16 to find:
$6n=6$
We divide by 6 to obtain that $n=1$.
We plug 1 in for n and confirm that our answer is, indeed, correct.