Answer
-7
Work Step by Step
We want to cancel out the fractions to simplify. In order to cancel out the fractions, we multiply by the least common multiple of all of the denominators. The least common multiple of 2, 5, and 10 is 10, so we multiply both sides of the equation by 10 to obtain:
$4n-5n=7 \\\\ -n=7 \\\\ n=-7$