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There is a point P on the hyperbola x^2/...

There is a point P on the hyperbola `x^2/16-y^2/9=1`16 16 9 such that its distance to the right directrix is the average of its distance to the two foci. Let the x-coordinate of P be `m/n` with m and n being integers, (n>0) having no common factor except 1. Then n- m equals

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