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Simplifying P + 4(2p + 9) = 3(2p + 3) + 3p Reorder the terms: P + 4(9 + 2p) = 3(2p + 3) + 3p P + (9 * 4 + 2p * 4) = 3(2p + 3) + 3p P + (36 + 8p) = 3(2p + 3) + 3p Reorder the terms: 36 + P + 8p = 3(2p + 3) + 3p Reorder the terms: 36 + P + 8p = 3(3 + 2p) + 3p 36 + P + 8p = (3 * 3 + 2p * 3) + 3p 36 + P + 8p = (9 + 6p) + 3p Combine like terms: 6p + 3p = 9p 36 + P + 8p = 9 + 9p Solving 36 + P + 8p = 9 + 9p Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + P + -36 + 8p = 9 + -36 + 9p Reorder the terms: 36 + -36 + P + 8p = 9 + -36 + 9p Combine like terms: 36 + -36 = 0 0 + P + 8p = 9 + -36 + 9p P + 8p = 9 + -36 + 9p Combine like terms: 9 + -36 = -27 P + 8p = -27 + 9p Add '-8p' to each side of the equation. P + 8p + -8p = -27 + 9p + -8p Combine like terms: 8p + -8p = 0 P + 0 = -27 + 9p + -8p P = -27 + 9p + -8p Combine like terms: 9p + -8p = 1p P = -27 + 1p Simplifying P = -27 + 1p
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