Answer
$-20$.
Work Step by Step
Expand with ${{R}_{1}}$
$\begin{align}
& \left| \begin{matrix}
1 & 2 & 3 \\
2 & 2 & -3 \\
3 & 2 & 1 \\
\end{matrix} \right|=1\left( 2-\left( -6 \right) \right)-2\left( 2-\left( -9 \right) \right)+3\left( 4-6 \right) \\
& =8-22-6 \\
& =-20
\end{align}$
