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