Chapter 2 - Section 2.6 - Absolute Value Equations - Exercise Set - Page 100: 56

Solutions are $5, \frac{-17}{3}$

$|\frac{1+3n}{4}| = 4$ This is equivalent to $\frac{1+3n}{4} = 4$ or $\frac{1+3n}{4} = -4$ $1+3n = 16$ or $1+3n = -16$ $3n = 15$ or $3n = -16-1$ $n= 5 $ or $ 3n = -17$ $n= 5 $ or $ n= \frac{-17}{3}$ Solutions are $5, \frac{-17}{3}$