\[\frac{12n + 11}{3n - 2} = \frac{12n - 8 + 19}{3n - 2} =\]
\[= \frac{4 \cdot (3n - 2) + 19}{3n - 2} =\]
\[= \frac{4(3n - 2)}{3n - 2} + \frac{19}{3n - 2} =\]
\[= 4 + \frac{19}{3n - 2}\]