3d Geometry

Let the equation of the plane P containing the line \(x+10=\frac{8-y}{2}=z\) be \(ax+by+3z=2(a+b)\) and the distance of the plane \(P\) from the point (1, 27, 7) be \(c\). Then \(a^2+b^2+c^2\) is equal to __________.