3 - (1)/(2) |r + 9| = - 11may someone please help me out

Question

`3 - (1)/(2) |r + 9| = - 11`may someone please help me out

Answer 1

`\begin{gathered} 3-(1)/(2)\left|r+9\right|=-11 \\ 3-(1)/(2)(r+9)=-11 \\ 3-(1)/(2)r-(9)/(2)=-11 \\ -(1)/(2)r=-11-3+(9)/(2) \\ -(1)/(2)r=(-22-6+9)/(2) \\ -(1)/(2)r=(-19)/(2) \\ -r=-19 \\ r=19 \end{gathered}`