Solve for d
\left\{\begin{matrix}d=\frac{e\sin(\theta )}{±m}\text{, }&±m\neq 0\\d\in \mathrm{R}\text{, }&\exists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}\text{ and }±m=0\end{matrix}\right.
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\left(±m\right)d=e\sin(\theta )
Swap sides so that all variable terms are on the left hand side.
\frac{\left(±m\right)d}{±m}=\frac{e\sin(\theta )}{±m}
Divide both sides by ±m.
d=\frac{e\sin(\theta )}{±m}
Dividing by ±m undoes the multiplication by ±m.
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