$$8n+12=2m \times 5$$
$m=\frac{4n+6}{5}$
$$8n+12=10m$$
$$10m=8n+12$$
$$\frac{10m}{10}=\frac{8n+12}{10}$$
$$m=\frac{8n+12}{10}$$
$$m=\frac{4n+6}{5}$$
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$n=\frac{5m}{4}-\frac{3}{2}$
$$8n=10m-12$$
$$\frac{8n}{8}=\frac{10m-12}{8}$$
$$n=\frac{10m-12}{8}$$
$$n=\frac{5m}{4}-\frac{3}{2}$$
