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2000-100P=-100+200P-400
Use the distributive property to multiply 200 by P-2.
2000-100P=-500+200P
Subtract 400 from -100 to get -500.
2000-100P-200P=-500
Subtract 200P from both sides.
2000-300P=-500
Combine -100P and -200P to get -300P.
-300P=-500-2000
Subtract 2000 from both sides.
-300P=-2500
Subtract 2000 from -500 to get -2500.
P=\frac{-2500}{-300}
Divide both sides by -300.
P=\frac{25}{3}
Reduce the fraction \frac{-2500}{-300} to lowest terms by extracting and canceling out -100.