Answer
$n=-2$
Work Step by Step
We start by creating a common denominator for all of the fractions:
$\frac{2n}{10}-\frac{3n}{10}=\frac{2}{10}$
We now can combine the denominators on the same side of the equation:
-$\frac{n}{10}=\frac{2}{10}$
We then multiply both sides by 10 to find:
$-n=2$
We divide by -1 to obtain that $n=-2$.
We plug -2 in for n and confirm that our answer is, indeed, correct.
