Solve for g
\left\{\begin{matrix}\\g=0\text{, }&\text{unconditionally}\\g\in \mathrm{R}\text{, }&k=1\end{matrix}\right.
Solve for k
\left\{\begin{matrix}\\k=1\text{, }&\text{unconditionally}\\k\in \mathrm{R}\text{, }&g=0\end{matrix}\right.
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1kg-g=0
Subtract g from both sides.
gk-g=0
Reorder the terms.
\left(k-1\right)g=0
Combine all terms containing g.
g=0
Divide 0 by -1+k.
gk=g
Reorder the terms.
\frac{gk}{g}=\frac{g}{g}
Divide both sides by g.
k=\frac{g}{g}
Dividing by g undoes the multiplication by g.
k=1
Divide g by g.
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