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w=-\frac{1}{6}+\frac{7}{9}
Add \frac{7}{9} to both sides.
w=-\frac{3}{18}+\frac{14}{18}
Least common multiple of 6 and 9 is 18. Convert -\frac{1}{6} and \frac{7}{9} to fractions with denominator 18.
w=\frac{-3+14}{18}
Since -\frac{3}{18} and \frac{14}{18} have the same denominator, add them by adding their numerators.
w=\frac{11}{18}
Add -3 and 14 to get 11.