$$2s2+3r=-7$$
$r=\frac{-2s_{2}-7}{3}$
$$3r=-7-2s_{2}$$
$$3r=-2s_{2}-7$$
$$\frac{3r}{3}=\frac{-2s_{2}-7}{3}$$
$$r=\frac{-2s_{2}-7}{3}$$
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$s_{2}=\frac{-3r-7}{2}$
$$2s_{2}=-7-3r$$
$$2s_{2}=-3r-7$$
$$\frac{2s_{2}}{2}=\frac{-3r-7}{2}$$
$$s_{2}=\frac{-3r-7}{2}$$