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-\frac{7}{21}-\frac{12}{21}
Least common multiple of 3 and 7 is 21. Convert -\frac{1}{3} and \frac{4}{7} to fractions with denominator 21.
\frac{-7-12}{21}
Since -\frac{7}{21} and \frac{12}{21} have the same denominator, subtract them by subtracting their numerators.
-\frac{19}{21}
Subtract 12 from -7 to get -19.