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A line through A(-5-4) meets of lines x+...

A line through `A(-5-4)` meets of lines `x+3y+2=0, 2x+y+4 and x-y-5=0` at the point B,C and D respectively. If `((15)/(AB))^(2)+((10)/(AC))^(2)=((6)/(AD))^(2)`, find the equation of the line.

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