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10-0.5P+10P=20
Add 10P to both sides.
10+9.5P=20
Combine -0.5P and 10P to get 9.5P.
9.5P=20-10
Subtract 10 from both sides.
9.5P=10
Subtract 10 from 20 to get 10.
P=\frac{10}{9.5}
Divide both sides by 9.5.
P=\frac{100}{95}
Expand \frac{10}{9.5} by multiplying both numerator and the denominator by 10.
P=\frac{20}{19}
Reduce the fraction \frac{100}{95} to lowest terms by extracting and canceling out 5.