$$9M- \frac{ 3 }{ 7 } =4M+ \frac{ 3 }{ 2 }$$
$M=\frac{27}{70}\approx 0.385714286$
$$9M-\frac{3}{7}-4M=\frac{3}{2}$$
$$5M-\frac{3}{7}=\frac{3}{2}$$
$$5M=\frac{3}{2}+\frac{3}{7}$$
$$5M=\frac{21}{14}+\frac{6}{14}$$
$$5M=\frac{21+6}{14}$$
$$5M=\frac{27}{14}$$
$$M=\frac{\frac{27}{14}}{5}$$
$$M=\frac{27}{14\times 5}$$
$$M=\frac{27}{70}$$
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