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Simplifying 3P + -2(1 + -1P) = -2P + 5(1 + -1P) 3P + (1 * -2 + -1P * -2) = -2P + 5(1 + -1P) 3P + (-2 + 2P) = -2P + 5(1 + -1P) Reorder the terms: -2 + 3P + 2P = -2P + 5(1 + -1P) Combine like terms: 3P + 2P = 5P -2 + 5P = -2P + 5(1 + -1P) -2 + 5P = -2P + (1 * 5 + -1P * 5) -2 + 5P = -2P + (5 + -5P) Reorder the terms: -2 + 5P = 5 + -2P + -5P Combine like terms: -2P + -5P = -7P -2 + 5P = 5 + -7P Solving -2 + 5P = 5 + -7P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '7P' to each side of the equation. -2 + 5P + 7P = 5 + -7P + 7P Combine like terms: 5P + 7P = 12P -2 + 12P = 5 + -7P + 7P Combine like terms: -7P + 7P = 0 -2 + 12P = 5 + 0 -2 + 12P = 5 Add '2' to each side of the equation. -2 + 2 + 12P = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 12P = 5 + 2 12P = 5 + 2 Combine like terms: 5 + 2 = 7 12P = 7 Divide each side by '12'. P = 0.5833333333 Simplifying P = 0.5833333333
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