Answer
$f=-2$ or $f=1.5$
Work Step by Step
$|4f+1|-2=5\longrightarrow$ add 2 to each side
$|4f+1|-2+2=5+2\longrightarrow$ add
$|4f+1|=7\longrightarrow$ definition of absolute value
$4f+1=-7$ or $4f+1=7\longrightarrow$ solve each equation
$4f+1=-7\longrightarrow$ subtract 1 from each side
$4f+1-1=-7-1\longrightarrow$ subtract
$4f=-8\longrightarrow$ divide each side by 4
$4f\div4=-8\div4\longrightarrow$ divide
$f=-2$
OR
$4f+1=7\longrightarrow$ subtract 1 from each side
$4f+1-1=7-1\longrightarrow$ subtract
$4f=6\longrightarrow$ divide each side by 4
$4f\div4=6\div4\longrightarrow$ divide
$f=1.5$
