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Simplifying (2P + 15) + (P + 15) = 105 Reorder the terms: (15 + 2P) + (P + 15) = 105 Remove parenthesis around (15 + 2P) 15 + 2P + (P + 15) = 105 Reorder the terms: 15 + 2P + (15 + P) = 105 Remove parenthesis around (15 + P) 15 + 2P + 15 + P = 105 Reorder the terms: 15 + 15 + 2P + P = 105 Combine like terms: 15 + 15 = 30 30 + 2P + P = 105 Combine like terms: 2P + P = 3P 30 + 3P = 105 Solving 30 + 3P = 105 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 3P = 105 + -30 Combine like terms: 30 + -30 = 0 0 + 3P = 105 + -30 3P = 105 + -30 Combine like terms: 105 + -30 = 75 3P = 75 Divide each side by '3'. P = 25 Simplifying P = 25
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