Solve for k
\left\{\begin{matrix}k=\frac{F}{m}\text{, }&m\neq 0\\k\in \mathrm{R}\text{, }&F=0\text{ and }m=0\end{matrix}\right.
Solve for F
F=km
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km=F
Swap sides so that all variable terms are on the left hand side.
mk=F
The equation is in standard form.
\frac{mk}{m}=\frac{F}{m}
Divide both sides by m.
k=\frac{F}{m}
Dividing by m undoes the multiplication by m.
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