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Simplifying 4 + 4(2p + 5) = 2(1 + 3p) Reorder the terms: 4 + 4(5 + 2p) = 2(1 + 3p) 4 + (5 * 4 + 2p * 4) = 2(1 + 3p) 4 + (20 + 8p) = 2(1 + 3p) Combine like terms: 4 + 20 = 24 24 + 8p = 2(1 + 3p) 24 + 8p = (1 * 2 + 3p * 2) 24 + 8p = (2 + 6p) Solving 24 + 8p = 2 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 24 + 8p + -6p = 2 + 6p + -6p Combine like terms: 8p + -6p = 2p 24 + 2p = 2 + 6p + -6p Combine like terms: 6p + -6p = 0 24 + 2p = 2 + 0 24 + 2p = 2 Add '-24' to each side of the equation. 24 + -24 + 2p = 2 + -24 Combine like terms: 24 + -24 = 0 0 + 2p = 2 + -24 2p = 2 + -24 Combine like terms: 2 + -24 = -22 2p = -22 Divide each side by '2'. p = -11 Simplifying p = -11
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