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Two circles are given as x^2+y^2+14x-6y+40=0 and x^2+y^2-2x+6y+7=0with their centres as C_1 and C_2 . If equation of another circle whose centre C_3 lies on the line 3x+4y-16=0 and touches the circle C_1 externallyand also C_1C_2+C_2C_3+C_3C_1 is minimumis x^2+y^2+ax+by+c=0 then the value of (a+b+c) is

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