Solve for r
\left\{\begin{matrix}r=\frac{v-i}{w}\text{, }&w\neq 0\\r\in \mathrm{C}\text{, }&v=i\text{ and }w=0\end{matrix}\right.
Solve for v
v=rw+i
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wr=v-i
Swap sides so that all variable terms are on the left hand side.
\frac{wr}{w}=\frac{v-i}{w}
Divide both sides by w.
r=\frac{v-i}{w}
Dividing by w undoes the multiplication by w.
v=wr+i
Add i to both sides.
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