Let the mid points of the sides of a triangle $A B C$ be $\left(\frac{5}{2}, 7\right),\left(\frac{5}{2}, 3\right)$ and $(4,5)$. If its incentre is $(\mathrm{h}, \mathrm{k})$, then $3 \mathrm{~h}+\mathrm{k}$ is equal to :
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