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Simplifying 27 = 2(1 + p) + 19 27 = (1 * 2 + p * 2) + 19 27 = (2 + 2p) + 19 Reorder the terms: 27 = 2 + 19 + 2p Combine like terms: 2 + 19 = 21 27 = 21 + 2p Solving 27 = 21 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 27 + -2p = 21 + 2p + -2p Combine like terms: 2p + -2p = 0 27 + -2p = 21 + 0 27 + -2p = 21 Add '-27' to each side of the equation. 27 + -27 + -2p = 21 + -27 Combine like terms: 27 + -27 = 0 0 + -2p = 21 + -27 -2p = 21 + -27 Combine like terms: 21 + -27 = -6 -2p = -6 Divide each side by '-2'. p = 3 Simplifying p = 3
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