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1. Rotation center of a complex map ●●○○○ 20 ptsThe function $f(z) = \frac{(-1 + i \sqrt{3})\, z + (-2 \sqrt{3} - 18i)}{2}$ represents a rotation around some complex number $c$. Find $c$, writing $c = x + yi$ with $x$ and $y$ real. Round $x$ to two decimal places.