Solve for V
\left\{\begin{matrix}V=-\frac{V_{u}-V_{m}}{f}\text{, }&f\neq 0\\V\in \mathrm{R}\text{, }&V_{m}=V_{u}\text{ and }f=0\end{matrix}\right.
Solve for V_m
V_{m}=Vf+V_{u}
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V_{u}+Vf=V_{m}
Swap sides so that all variable terms are on the left hand side.
Vf=V_{m}-V_{u}
Subtract V_{u} from both sides.
fV=V_{m}-V_{u}
The equation is in standard form.
\frac{fV}{f}=\frac{V_{m}-V_{u}}{f}
Divide both sides by f.
V=\frac{V_{m}-V_{u}}{f}
Dividing by f undoes the multiplication by f.
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