Find the vector $\mathbf{v}$ such that
\[\begin{pmatrix} 2 & 3 & -1 \\ 0 & 4 & 5 \\ 4 & 0 & -2 \end{pmatrix} \mathbf{v} = \begin{pmatrix} 2 \\ 27 \\ -14 \end{pmatrix}.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the vector $\mathbf{v}$ such that
\[\begin{pmatrix} 2 & 3 & -1 \\ 0 & 4 & 5 \\ 4 & 0 & -2 \end{pmatrix} \mathbf{v} = \begin{pmatrix} 2 \\ 27 \\ -14 \end{pmatrix}.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\begin{pmatrix} -2 \\ 3 \\ 3 \end{pmatrix}
Find the vector $\mathbf{v}$ such that
\[\begin{pmatrix} 2 & 3 & -1 \\ 0 & 4 & 5 \\ 4 & 0 & -2 \end{pmatrix} \mathbf{v} = \begin{pmatrix} 2 \\ 27 \\ -14 \end{pmatrix}.\]
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