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\frac{4}{3}-\frac{21}{3}-6
Convert 7 to fraction \frac{21}{3}.
\frac{4-21}{3}-6
Since \frac{4}{3} and \frac{21}{3} have the same denominator, subtract them by subtracting their numerators.
-\frac{17}{3}-6
Subtract 21 from 4 to get -17.
-\frac{17}{3}-\frac{18}{3}
Convert 6 to fraction \frac{18}{3}.
\frac{-17-18}{3}
Since -\frac{17}{3} and \frac{18}{3} have the same denominator, subtract them by subtracting their numerators.
-\frac{35}{3}
Subtract 18 from -17 to get -35.