Solve for N
N=\frac{gw}{w+g}
g\neq -w
Solve for g
\left\{\begin{matrix}g=\frac{Nw}{w-N}\text{, }&w\neq 0\text{ and }N\neq w\\g\neq 0\text{, }&N=0\text{ and }w=0\end{matrix}\right.
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