The midpoint formula is given by $(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$. Here, our points are $(-3,-2)$ and $(1,-4)$. So, the midpoint is $(\frac{-3+1}{2}, \frac{-2-4}{2})$ which simplifies to $(-1,-3)$. So, the center of the circle is $(-1,-3)$.
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