Answer
$k = -\frac{9}{4}$ or $k = \frac{13}{4}$
Work Step by Step
To get rid of the absolute value sign, we have to make up two equations:
$4k - 2 = -11$ or $4k - 2 = 11$
Add $2$ to each side of the equation:
$4k = -9$ or $4k = 13$
Divide each side by $4$ to solve for $k$:
$k = -\frac{9}{4}$ or $k = \frac{13}{4}$