$$a = \frac { 5 } { 6 } ( a - 10 )$$
$a=-50$
$$a=\frac{5}{6}a+\frac{5}{6}\left(-10\right)$$
$$a=\frac{5}{6}a+\frac{5\left(-10\right)}{6}$$
$$a=\frac{5}{6}a+\frac{-50}{6}$$
$$a=\frac{5}{6}a-\frac{25}{3}$$
$$a-\frac{5}{6}a=-\frac{25}{3}$$
$$\frac{1}{6}a=-\frac{25}{3}$$
$$a=-\frac{25}{3}\times 6$$
$$a=\frac{-25\times 6}{3}$$
$$a=\frac{-150}{3}$$
$$a=-50$$
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