Answer
The solution of the equation $V=C-\frac{C-S}{L}N$ for $C$ is $\frac{LV-NS}{L-N}$.
Work Step by Step
Consider the equation $V=C-\frac{C-S}{L}N$.
Multiply $L$ on both sides of the equation.
$VL=\left( C-\frac{C-S}{L}N \right)L$
Use the distributive property to solve the above equation.
$\begin{align}
& VL=\left( C-\frac{C-S}{L}N \right)L \\
& VL=CL-CN+SN \\
& VL=C\left( L-N \right)+SN
\end{align}$
Subtract $SN$ from both sides.
$\begin{align}
& VL-SN=C\left( L-N \right)+SN-SN \\
& VL-SN=C\left( L-N \right)
\end{align}$
Divide $\left( L-N \right)$ on both sides.
$\begin{align}
& \frac{VL-SN}{\left( L-N \right)}=\frac{C\left( L-N \right)}{\left( L-N \right)} \\
& C=\frac{VL-SN}{\left( L-N \right)} \\
& =\frac{LV-NS}{L-N}
\end{align}$
The value of $C$ is $\frac{LV-NS}{L-N}$.
