$$3M=sm-\frac{8}{5}$$
$M=\frac{ms}{3}-\frac{8}{15}$
$$3M=ms-\frac{8}{5}$$
$$\frac{3M}{3}=\frac{ms-\frac{8}{5}}{3}$$
$$M=\frac{ms-\frac{8}{5}}{3}$$
$$M=\frac{ms}{3}-\frac{8}{15}$$
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$\left\{\begin{matrix}m=\frac{15M+8}{5s}\text{, }&s\neq 0\\m\in \mathrm{R}\text{, }&M=-\frac{8}{15}\text{ and }s=0\end{matrix}\right.$
$$sm-\frac{8}{5}=3M$$
$$sm=3M+\frac{8}{5}$$
$$\frac{sm}{s}=\frac{3M+\frac{8}{5}}{s}$$
$$m=\frac{3M+\frac{8}{5}}{s}$$
$$m=\frac{15M+8}{5s}$$
