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Simplifying 2P + -4(1 + -1P) = 6 + 10(1 + -1P) 2P + (1 * -4 + -1P * -4) = 6 + 10(1 + -1P) 2P + (-4 + 4P) = 6 + 10(1 + -1P) Reorder the terms: -4 + 2P + 4P = 6 + 10(1 + -1P) Combine like terms: 2P + 4P = 6P -4 + 6P = 6 + 10(1 + -1P) -4 + 6P = 6 + (1 * 10 + -1P * 10) -4 + 6P = 6 + (10 + -10P) Combine like terms: 6 + 10 = 16 -4 + 6P = 16 + -10P Solving -4 + 6P = 16 + -10P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '10P' to each side of the equation. -4 + 6P + 10P = 16 + -10P + 10P Combine like terms: 6P + 10P = 16P -4 + 16P = 16 + -10P + 10P Combine like terms: -10P + 10P = 0 -4 + 16P = 16 + 0 -4 + 16P = 16 Add '4' to each side of the equation. -4 + 4 + 16P = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 16P = 16 + 4 16P = 16 + 4 Combine like terms: 16 + 4 = 20 16P = 20 Divide each side by '16'. P = 1.25 Simplifying P = 1.25
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