Solve for c
\left\{\begin{matrix}c=\frac{a}{10m}\text{, }&m\neq 0\\c\in \mathrm{R}\text{, }&a=0\text{ and }m=0\end{matrix}\right.
Solve for a
a=10cm
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10cm=a
Swap sides so that all variable terms are on the left hand side.
10mc=a
The equation is in standard form.
\frac{10mc}{10m}=\frac{a}{10m}
Divide both sides by 10m.
c=\frac{a}{10m}
Dividing by 10m undoes the multiplication by 10m.
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