If $A=\begin{vmatrix}1 & -2 & -3\\2 & 3 & 2\\3 &-3 & -4\end{vmatrix},$find $A^{-1}$ and hence solve the following system of linear equations : $x+2-3z=-4,2x+3y+2z=2,3x-3y-4z=11.$

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