Solve for E
\left\{\begin{matrix}E=r+\frac{R}{n}\text{, }&n\neq 0\\E\in \mathrm{R}\text{, }&R=0\text{ and }n=0\end{matrix}\right.
Solve for R
R=n\left(E-r\right)
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nE-nr=R
Swap sides so that all variable terms are on the left hand side.
nE=R+nr
Add nr to both sides.
nE=nr+R
The equation is in standard form.
\frac{nE}{n}=\frac{nr+R}{n}
Divide both sides by n.
E=\frac{nr+R}{n}
Dividing by n undoes the multiplication by n.
E=r+\frac{R}{n}
Divide R+rn by n.
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