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\frac{17\pi }{3}+\frac{3\left(-4\right)\pi }{3}
To add or subtract expressions, expand them to make their denominators the same. Multiply -4\pi times \frac{3}{3}.
\frac{17\pi +3\left(-4\right)\pi }{3}
Since \frac{17\pi }{3} and \frac{3\left(-4\right)\pi }{3} have the same denominator, add them by adding their numerators.
\frac{17\pi -12\pi }{3}
Do the multiplications in 17\pi +3\left(-4\right)\pi .
\frac{5\pi }{3}
Combine like terms in 17\pi -12\pi .