For a complex number $z,$ compute the minimum value of
\[|z + 5 - 3i| + |z - 7 + 2i|.\]
Question:
For a complex number $z,$ compute the minimum value of
\[|z + 5 - 3i| + |z - 7 + 2i|.\]
Answer:
Let's think step by step.

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For a complex number $z,$ compute the minimum value of
\[|z + 5 - 3i| + |z - 7 + 2i|.\]
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