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Simplifying -2[(4P + 1) + -1(3P + -1)] = 5(3P) + -9 Reorder the terms: -2[(1 + 4P) + -1(3P + -1)] = 5(3P) + -9 Remove parenthesis around (1 + 4P) -2[1 + 4P + -1(3P + -1)] = 5(3P) + -9 Reorder the terms: -2[1 + 4P + -1(-1 + 3P)] = 5(3P) + -9 -2[1 + 4P + (-1 * -1 + 3P * -1)] = 5(3P) + -9 -2[1 + 4P + (1 + -3P)] = 5(3P) + -9 Reorder the terms: -2[1 + 1 + 4P + -3P] = 5(3P) + -9 Combine like terms: 1 + 1 = 2 -2[2 + 4P + -3P] = 5(3P) + -9 Combine like terms: 4P + -3P = 1P -2[2 + 1P] = 5(3P) + -9 [2 * -2 + 1P * -2] = 5(3P) + -9 [-4 + -2P] = 5(3P) + -9 Remove parenthesis around (3P) -4 + -2P = 5 * 3P + -9 Multiply 5 * 3 -4 + -2P = 15P + -9 Reorder the terms: -4 + -2P = -9 + 15P Solving -4 + -2P = -9 + 15P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-15P' to each side of the equation. -4 + -2P + -15P = -9 + 15P + -15P Combine like terms: -2P + -15P = -17P -4 + -17P = -9 + 15P + -15P Combine like terms: 15P + -15P = 0 -4 + -17P = -9 + 0 -4 + -17P = -9 Add '4' to each side of the equation. -4 + 4 + -17P = -9 + 4 Combine like terms: -4 + 4 = 0 0 + -17P = -9 + 4 -17P = -9 + 4 Combine like terms: -9 + 4 = -5 -17P = -5 Divide each side by '-17'. P = 0.2941176471 Simplifying P = 0.2941176471
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