Answer
$c = -6$ or $c = \frac{16}{3}$
Work Step by Step
Add $4$ to each side of the equation:
$|3c + 1| = 17$
To get rid of the absolute value sign, rewrite the equation as two separate equations:
$3c + 1 = -17$ or $3c + 1 = 17$
Subtract $1$ from both sides of the equation:
$3c = -18$ or $3c = 16$
Divide both sides of the equation by $3$:
$c = -6$ or $c = \frac{16}{3}$