#### Answer

$\frac{-3n-16}{12}$

#### Work Step by Step

By inspection, we see that the LCM of the denominators is $12$. Therefore, we create a common denominator using this LCM and obtain:
$\frac{5n-2}{12}-\frac{4n+7}{6}$
=$\frac{1(5n-2)-2(4n+7)}{12}$
=$\frac{5n-2-8n-14}{12}$
=$\frac{5n-8n-2-14}{12}$
=$\frac{-3n-16}{12}$