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Simplifying 600P + -1200 = 1600 + -200(P + 2) Reorder the terms: -1200 + 600P = 1600 + -200(P + 2) Reorder the terms: -1200 + 600P = 1600 + -200(2 + P) -1200 + 600P = 1600 + (2 * -200 + P * -200) -1200 + 600P = 1600 + (-400 + -200P) Combine like terms: 1600 + -400 = 1200 -1200 + 600P = 1200 + -200P Solving -1200 + 600P = 1200 + -200P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '200P' to each side of the equation. -1200 + 600P + 200P = 1200 + -200P + 200P Combine like terms: 600P + 200P = 800P -1200 + 800P = 1200 + -200P + 200P Combine like terms: -200P + 200P = 0 -1200 + 800P = 1200 + 0 -1200 + 800P = 1200 Add '1200' to each side of the equation. -1200 + 1200 + 800P = 1200 + 1200 Combine like terms: -1200 + 1200 = 0 0 + 800P = 1200 + 1200 800P = 1200 + 1200 Combine like terms: 1200 + 1200 = 2400 800P = 2400 Divide each side by '800'. P = 3 Simplifying P = 3
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