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-\frac{1}{18}+\frac{14}{18}
Least common multiple of 18 and 9 is 18. Convert -\frac{1}{18} and \frac{7}{9} to fractions with denominator 18.
\frac{-1+14}{18}
Since -\frac{1}{18} and \frac{14}{18} have the same denominator, add them by adding their numerators.
\frac{13}{18}
Add -1 and 14 to get 13.