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