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a-b-\frac{1}{3}a-\frac{1}{3}\left(-2\right)b
Use the distributive property to multiply -\frac{1}{3} by a-2b.
a-b-\frac{1}{3}a+\frac{-\left(-2\right)}{3}b
Express -\frac{1}{3}\left(-2\right) as a single fraction.
a-b-\frac{1}{3}a+\frac{2}{3}b
Multiply -1 and -2 to get 2.
\frac{2}{3}a-b+\frac{2}{3}b
Combine a and -\frac{1}{3}a to get \frac{2}{3}a.
\frac{2}{3}a-\frac{1}{3}b
Combine -b and \frac{2}{3}b to get -\frac{1}{3}b.
a-b-\frac{1}{3}a-\frac{1}{3}\left(-2\right)b
Use the distributive property to multiply -\frac{1}{3} by a-2b.
a-b-\frac{1}{3}a+\frac{-\left(-2\right)}{3}b
Express -\frac{1}{3}\left(-2\right) as a single fraction.
a-b-\frac{1}{3}a+\frac{2}{3}b
Multiply -1 and -2 to get 2.
\frac{2}{3}a-b+\frac{2}{3}b
Combine a and -\frac{1}{3}a to get \frac{2}{3}a.
\frac{2}{3}a-\frac{1}{3}b
Combine -b and \frac{2}{3}b to get -\frac{1}{3}b.