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If z1, z2, z3 are 3 distinct complex nu...

If `z_1, z_2, z_3` are 3 distinct complex numbers such that `3/|z_2-z_3|-4/|z_3-z_1|=5/|z_1-z_2|` then the value of `9/(z_2-z_3)+16/(z_3-z_1)+25/(z_1-z_2)` equals

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