Solve for N
\left\{\begin{matrix}N=\frac{F}{w}\text{, }&w\neq 0\\N\in \mathrm{R}\text{, }&F=0\text{ and }w=0\end{matrix}\right.
Solve for F
F=Nw
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wN=F
Swap sides so that all variable terms are on the left hand side.
\frac{wN}{w}=\frac{F}{w}
Divide both sides by w.
N=\frac{F}{w}
Dividing by w undoes the multiplication by w.
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