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20\left(2p+1\right)-8.5=14
Multiply 4 and 5 to get 20.
40p+20-8.5=14
Use the distributive property to multiply 20 by 2p+1.
40p+11.5=14
Subtract 8.5 from 20 to get 11.5.
40p=14-11.5
Subtract 11.5 from both sides.
40p=2.5
Subtract 11.5 from 14 to get 2.5.
p=\frac{2.5}{40}
Divide both sides by 40.
p=\frac{25}{400}
Expand \frac{2.5}{40} by multiplying both numerator and the denominator by 10.
p=\frac{1}{16}
Reduce the fraction \frac{25}{400} to lowest terms by extracting and canceling out 25.