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3p-\frac{5}{2}\times 4p-\frac{5}{2}\left(-10\right)
Use the distributive property to multiply -\frac{5}{2} by 4p-10.
3p+\frac{-5\times 4}{2}p-\frac{5}{2}\left(-10\right)
Express -\frac{5}{2}\times 4 as a single fraction.
3p+\frac{-20}{2}p-\frac{5}{2}\left(-10\right)
Multiply -5 and 4 to get -20.
3p-10p-\frac{5}{2}\left(-10\right)
Divide -20 by 2 to get -10.
3p-10p+\frac{-5\left(-10\right)}{2}
Express -\frac{5}{2}\left(-10\right) as a single fraction.
3p-10p+\frac{50}{2}
Multiply -5 and -10 to get 50.
3p-10p+25
Divide 50 by 2 to get 25.
-7p+25
Combine 3p and -10p to get -7p.
3p-\frac{5}{2}\times 4p-\frac{5}{2}\left(-10\right)
Use the distributive property to multiply -\frac{5}{2} by 4p-10.
3p+\frac{-5\times 4}{2}p-\frac{5}{2}\left(-10\right)
Express -\frac{5}{2}\times 4 as a single fraction.
3p+\frac{-20}{2}p-\frac{5}{2}\left(-10\right)
Multiply -5 and 4 to get -20.
3p-10p-\frac{5}{2}\left(-10\right)
Divide -20 by 2 to get -10.
3p-10p+\frac{-5\left(-10\right)}{2}
Express -\frac{5}{2}\left(-10\right) as a single fraction.
3p-10p+\frac{50}{2}
Multiply -5 and -10 to get 50.
3p-10p+25
Divide 50 by 2 to get 25.
-7p+25
Combine 3p and -10p to get -7p.