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Starting with the equation:
[tex]-5m=8m-2[/tex]Substract 8m from both sides:
[tex]\begin{gathered} -5m-8m=8m-2-8m \\ \Rightarrow-13m=-2 \end{gathered}[/tex]Divide both sides by -13:
[tex]\begin{gathered} \frac{-13m}{-13}=\frac{-2}{-13} \\ \Rightarrow m=\frac{2}{13} \end{gathered}[/tex]Therefore, the equation has one solution, which is:
[tex]m=\frac{2}{13}[/tex]