Mathematics, 30.08.2021 02:00 decoreyjpaipxv

Answer found, just need explanation. Determine the value(s) of n.
P(3n, n-7), Q(4n, n+5), PQ=13
Through the answer sheet, I found that the answer is 5. This is found by using the coordinate plane distance formula $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ but I don't know how to properly apply it.

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Answer found, just need explanation. Determine the value(s) of n.
P(3n, n-7), Q(4n, n+5), PQ...