Let $a_1, a_2 \ldots \ldots a_{10}$ be an AP with common difference -3 and $b_1, b_2 \ldots \ldots, b_{10}$ be a GP with common ratio 2 . Let $c_k=a_k+b_k, k=1,2, \ldots, 10$. If $c_2=12$ and $c_3=13$, then $\sum_{k=1}^{10} c_k$ is equal to $\_\_\_\_$ .
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