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Geometry Level 5

\[\begin{array} {} A: & x^2 + y^2 -x+6y+5 =0 \\ B: & x^2+y^2 +5x-8y+15 =0 \\ C: & x^2+y^2 +3x+2y+1= 0 \end{array} \]

Let \( (h,k)\) be the center of the circle cutting the above three circles orthogonally, find the value of \(h+k\).

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