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Simplifying 2P + -4(1 + -1P) = 6P + 10(1 + -1P) 2P + (1 * -4 + -1P * -4) = 6P + 10(1 + -1P) 2P + (-4 + 4P) = 6P + 10(1 + -1P) Reorder the terms: -4 + 2P + 4P = 6P + 10(1 + -1P) Combine like terms: 2P + 4P = 6P -4 + 6P = 6P + 10(1 + -1P) -4 + 6P = 6P + (1 * 10 + -1P * 10) -4 + 6P = 6P + (10 + -10P) Reorder the terms: -4 + 6P = 10 + 6P + -10P Combine like terms: 6P + -10P = -4P -4 + 6P = 10 + -4P Solving -4 + 6P = 10 + -4P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '4P' to each side of the equation. -4 + 6P + 4P = 10 + -4P + 4P Combine like terms: 6P + 4P = 10P -4 + 10P = 10 + -4P + 4P Combine like terms: -4P + 4P = 0 -4 + 10P = 10 + 0 -4 + 10P = 10 Add '4' to each side of the equation. -4 + 4 + 10P = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 10P = 10 + 4 10P = 10 + 4 Combine like terms: 10 + 4 = 14 10P = 14 Divide each side by '10'. P = 1.4 Simplifying P = 1.4
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