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-\frac{2\pi }{3}+\frac{3\times 2\pi }{3}
To add or subtract expressions, expand them to make their denominators the same. Multiply 2\pi times \frac{3}{3}.
\frac{-2\pi +3\times 2\pi }{3}
Since -\frac{2\pi }{3} and \frac{3\times 2\pi }{3} have the same denominator, add them by adding their numerators.
\frac{-2\pi +6\pi }{3}
Do the multiplications in -2\pi +3\times 2\pi .
\frac{4\pi }{3}
Combine like terms in -2\pi +6\pi .