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The sum of the imaginary parts of all complex numbers , which simultaneously satisfy ∣z−12z−8i∣=53,∣z−4z−8∣=1|\frac{z-12}{z-8i}|=\frac{5}{3},|\frac{z-4}{z-8}|=1∣z−8iz−12∣=35,∣z−8z−4∣=1 is: __________\text{\_\_\_\_\_\_\_\_\_\_} __________.
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