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\frac{5\pi }{2}+\frac{2\left(-2\right)\pi }{2}
To add or subtract expressions, expand them to make their denominators the same. Multiply -2\pi times \frac{2}{2}.
\frac{5\pi +2\left(-2\right)\pi }{2}
Since \frac{5\pi }{2} and \frac{2\left(-2\right)\pi }{2} have the same denominator, add them by adding their numerators.
\frac{5\pi -4\pi }{2}
Do the multiplications in 5\pi +2\left(-2\right)\pi .
\frac{\pi }{2}
Combine like terms in 5\pi -4\pi .