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36\left(-\frac{20}{36}+\frac{27}{36}\right)
Least common multiple of 9 and 4 is 36. Convert -\frac{5}{9} and \frac{3}{4} to fractions with denominator 36.
36\times \frac{-20+27}{36}
Since -\frac{20}{36} and \frac{27}{36} have the same denominator, add them by adding their numerators.
36\times \frac{7}{36}
Add -20 and 27 to get 7.
7
Cancel out 36 and 36.