Solve for I
\left\{\begin{matrix}I=\frac{E}{r+R}\text{, }&R\neq -r\\I\in \mathrm{R}\text{, }&E=0\text{ and }R=-r\end{matrix}\right.
Solve for E
E=I\left(r+R\right)
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\left(R+r\right)I=E
Combine all terms containing I.
\left(r+R\right)I=E
The equation is in standard form.
\frac{\left(r+R\right)I}{r+R}=\frac{E}{r+R}
Divide both sides by R+r.
I=\frac{E}{r+R}
Dividing by R+r undoes the multiplication by R+r.
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