Solve for c
\left\{\begin{matrix}c=\frac{m}{8m_{6}}\text{, }&m_{6}\neq 0\\c\in \mathrm{R}\text{, }&m=0\text{ and }m_{6}=0\end{matrix}\right.
Solve for m
m=8cm_{6}
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cm_{6}=\frac{1}{8}m
Swap sides so that all variable terms are on the left hand side.
m_{6}c=\frac{m}{8}
The equation is in standard form.
\frac{m_{6}c}{m_{6}}=\frac{m}{8m_{6}}
Divide both sides by m_{6}.
c=\frac{m}{8m_{6}}
Dividing by m_{6} undoes the multiplication by m_{6}.
\frac{1}{8}m=cm_{6}
The equation is in standard form.
\frac{\frac{1}{8}m}{\frac{1}{8}}=\frac{cm_{6}}{\frac{1}{8}}
Multiply both sides by 8.
m=\frac{cm_{6}}{\frac{1}{8}}
Dividing by \frac{1}{8} undoes the multiplication by \frac{1}{8}.
m=8cm_{6}
Divide cm_{6} by \frac{1}{8} by multiplying cm_{6} by the reciprocal of \frac{1}{8}.
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