$$\frac { 1 } { 9 } = \frac { 1 } { 6 } + \frac { 1 } { 6 } + \frac { 1 } { c }$$
$c = -\frac{9}{2} = -4\frac{1}{2} = -4.5$
$$2c=18c\times \frac{1}{6}+18c\times \frac{1}{6}+18$$
$$2c=\frac{18}{6}c+18c\times \frac{1}{6}+18$$
$$2c=3c+18c\times \frac{1}{6}+18$$
$$2c=3c+\frac{18}{6}c+18$$
$$2c=3c+3c+18$$
$$2c=6c+18$$
$$2c-6c=18$$
$$-4c=18$$
$$c=\frac{18}{-4}$$
$$c=-\frac{9}{2}$$
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