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Simplifying 5(P + 5) + -3(P + -1) = 32 Reorder the terms: 5(5 + P) + -3(P + -1) = 32 (5 * 5 + P * 5) + -3(P + -1) = 32 (25 + 5P) + -3(P + -1) = 32 Reorder the terms: 25 + 5P + -3(-1 + P) = 32 25 + 5P + (-1 * -3 + P * -3) = 32 25 + 5P + (3 + -3P) = 32 Reorder the terms: 25 + 3 + 5P + -3P = 32 Combine like terms: 25 + 3 = 28 28 + 5P + -3P = 32 Combine like terms: 5P + -3P = 2P 28 + 2P = 32 Solving 28 + 2P = 32 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 2P = 32 + -28 Combine like terms: 28 + -28 = 0 0 + 2P = 32 + -28 2P = 32 + -28 Combine like terms: 32 + -28 = 4 2P = 4 Divide each side by '2'. P = 2 Simplifying P = 2
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