If 2 and 1/10n equal 1 1/6 what is the value of n?

$$\\2+\frac{1}{10}n=1\frac{1}{6}\\\\
2+\frac{n}{10}=\frac{7}{6}\\\\
\frac{n}{10}=\frac{7}{6}-2\\\\
\frac{n}{10}=\frac{7}{6}-\frac{12}{6}\\\\
\frac{n}{10}=\frac{-5}{6}\\\\
n=\frac{-5}{6}\times 10\\\\
n=\frac{-50}{6}\\\\
n=-8\frac{2}{6}\\\\
n=-8\frac{1}{3}\\$$

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