Answer
$-3\lt k\lt -\frac{1}{3}$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow -16\lt 6k+2 \lt 0$
Subtract $2$ from each expression.
$\Rightarrow -16-2\lt 6k+2-2 \lt 0-2$
Simplify.
$\Rightarrow -18\lt 6k\lt -2$
Divide each side by $6$.
$\Rightarrow \frac{-18}{6}\lt \frac{6k}{6}\lt \frac{-2}{6}$
Simplify.
$\Rightarrow -3\lt k\lt -\frac{1}{3}$
Hence, the solution is $-3\lt k\lt -\frac{1}{3}$.
