Let I be an identity matrix of order $2 \times 2$ and $P=\left[\begin{array}{ll}2 & -1 \\ 5 & -3\end{array}\right]$. Then the value of $n \in N$ for which $P n =5 \mathrm{I}-8 \mathrm{P}$ is equal to $\_\_\_\_$ .
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