Solve for d
\left\{\begin{matrix}d=-\frac{h-ϕ}{\alpha }\text{, }&\alpha \neq 0\\d\in \mathrm{R}\text{, }&ϕ=h\text{ and }\alpha =0\end{matrix}\right.
Solve for h
h=ϕ-d\alpha
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h+\alpha d=ϕ
Swap sides so that all variable terms are on the left hand side.
\alpha d=ϕ-h
Subtract h from both sides.
\frac{\alpha d}{\alpha }=\frac{ϕ-h}{\alpha }
Divide both sides by \alpha .
d=\frac{ϕ-h}{\alpha }
Dividing by \alpha undoes the multiplication by \alpha .
h+\alpha d=ϕ
Swap sides so that all variable terms are on the left hand side.
h=ϕ-\alpha d
Subtract \alpha d from both sides.
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