Answer
$n = 4$$, $ $n = $ -$\frac{7}{5}$
Work Step by Step
$\mid$$3 + 6n$$\mid$ $=$ $\mid$$4n + 11$$\mid$
$3 + 6n = 4n + 11$
$2n = 8$
$n = 4$
$\mid$$3 + 6n$$\mid$ $=$ $\mid$$4n + 11$$\mid$
$3 + 6n = -4n -11$
$10n = -14$
$n = $ -$\frac{14}{10}$
$n = $ -$\frac{7}{5}$