$$q = \frac { 2 } { 12 } - \frac { p } { 6 }$$
$p=1-6q$
$$q=\frac{1}{6}-\frac{p}{6}$$
$$q=\frac{1+p}{6}$$
$$q=\frac{1}{6}+\frac{1}{6}p$$
$$\frac{1}{6}+\frac{1}{6}p=q$$
$$\frac{1}{6}p=q-\frac{1}{6}$$
$$\frac{\frac{1}{6}p}{\frac{1}{6}}=\frac{q-\frac{1}{6}}{\frac{1}{6}}$$
$$p=\frac{q-\frac{1}{6}}{\frac{1}{6}}$$
$$p=6q-1$$
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$q=\frac{1-p}{6}$
