Solve for L
\left\{\begin{matrix}L=-\frac{V}{d-1}\text{, }&d\neq 1\\L\in \mathrm{R}\text{, }&V=0\text{ and }d=1\end{matrix}\right.
Solve for V
V=L\left(1-d\right)
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V=L-Ld
Use the distributive property to multiply L by 1-d.
L-Ld=V
Swap sides so that all variable terms are on the left hand side.
\left(1-d\right)L=V
Combine all terms containing L.
\frac{\left(1-d\right)L}{1-d}=\frac{V}{1-d}
Divide both sides by 1-d.
L=\frac{V}{1-d}
Dividing by 1-d undoes the multiplication by 1-d.
V=L-Ld
Use the distributive property to multiply L by 1-d.
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