The general form of a circle equation is $(x-h)^2 + (y-k)^2 = r^2$, where $(h,k)$ is the center of the circle and $r$ is the radius.
The given equation is $x^{2}-14x+y^{2}+8y+40=0$.
To rewrite this equation, we complete the square for the $x$ and $y$ terms.
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