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Simplifying -4(5P + 2) + -2(2 + -3P) = 3(2 + 8P) Reorder the terms: -4(2 + 5P) + -2(2 + -3P) = 3(2 + 8P) (2 * -4 + 5P * -4) + -2(2 + -3P) = 3(2 + 8P) (-8 + -20P) + -2(2 + -3P) = 3(2 + 8P) -8 + -20P + (2 * -2 + -3P * -2) = 3(2 + 8P) -8 + -20P + (-4 + 6P) = 3(2 + 8P) Reorder the terms: -8 + -4 + -20P + 6P = 3(2 + 8P) Combine like terms: -8 + -4 = -12 -12 + -20P + 6P = 3(2 + 8P) Combine like terms: -20P + 6P = -14P -12 + -14P = 3(2 + 8P) -12 + -14P = (2 * 3 + 8P * 3) -12 + -14P = (6 + 24P) Solving -12 + -14P = 6 + 24P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-24P' to each side of the equation. -12 + -14P + -24P = 6 + 24P + -24P Combine like terms: -14P + -24P = -38P -12 + -38P = 6 + 24P + -24P Combine like terms: 24P + -24P = 0 -12 + -38P = 6 + 0 -12 + -38P = 6 Add '12' to each side of the equation. -12 + 12 + -38P = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -38P = 6 + 12 -38P = 6 + 12 Combine like terms: 6 + 12 = 18 -38P = 18 Divide each side by '-38'. P = -0.4736842105 Simplifying P = -0.4736842105
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