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Simplifying 3(P + 5) + P = 3(2 + P) Reorder the terms: 3(5 + P) + P = 3(2 + P) (5 * 3 + P * 3) + P = 3(2 + P) (15 + 3P) + P = 3(2 + P) Combine like terms: 3P + P = 4P 15 + 4P = 3(2 + P) 15 + 4P = (2 * 3 + P * 3) 15 + 4P = (6 + 3P) Solving 15 + 4P = 6 + 3P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-3P' to each side of the equation. 15 + 4P + -3P = 6 + 3P + -3P Combine like terms: 4P + -3P = 1P 15 + 1P = 6 + 3P + -3P Combine like terms: 3P + -3P = 0 15 + 1P = 6 + 0 15 + 1P = 6 Add '-15' to each side of the equation. 15 + -15 + 1P = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 1P = 6 + -15 1P = 6 + -15 Combine like terms: 6 + -15 = -9 1P = -9 Divide each side by '1'. P = -9 Simplifying P = -9
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