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Simplifying 5(P + -1) = 2P + 8(P + -1) Reorder the terms: 5(-1 + P) = 2P + 8(P + -1) (-1 * 5 + P * 5) = 2P + 8(P + -1) (-5 + 5P) = 2P + 8(P + -1) Reorder the terms: -5 + 5P = 2P + 8(-1 + P) -5 + 5P = 2P + (-1 * 8 + P * 8) -5 + 5P = 2P + (-8 + 8P) Reorder the terms: -5 + 5P = -8 + 2P + 8P Combine like terms: 2P + 8P = 10P -5 + 5P = -8 + 10P Solving -5 + 5P = -8 + 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. -5 + 5P + -10P = -8 + 10P + -10P Combine like terms: 5P + -10P = -5P -5 + -5P = -8 + 10P + -10P Combine like terms: 10P + -10P = 0 -5 + -5P = -8 + 0 -5 + -5P = -8 Add '5' to each side of the equation. -5 + 5 + -5P = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -5P = -8 + 5 -5P = -8 + 5 Combine like terms: -8 + 5 = -3 -5P = -3 Divide each side by '-5'. P = 0.6 Simplifying P = 0.6
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