A plane passes through a fixed point \((37,41,43)\). The \(locus\) of the **foot of perpendicular** to it from from the **origin is the sphere** \(ax^2+by^2+cz^2-dx-ey-fz+g=0\)

Find \(\large{a+b+c+d+e+f+g}\)

Note: \(a,b,c,d,e,f,g\) are **co prime integers**.

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