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Simplifying 8(p + 1) = 3(2p + 4) Reorder the terms: 8(1 + p) = 3(2p + 4) (1 * 8 + p * 8) = 3(2p + 4) (8 + 8p) = 3(2p + 4) Reorder the terms: 8 + 8p = 3(4 + 2p) 8 + 8p = (4 * 3 + 2p * 3) 8 + 8p = (12 + 6p) Solving 8 + 8p = 12 + 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. 8 + 8p + -6p = 12 + 6p + -6p Combine like terms: 8p + -6p = 2p 8 + 2p = 12 + 6p + -6p Combine like terms: 6p + -6p = 0 8 + 2p = 12 + 0 8 + 2p = 12 Add '-8' to each side of the equation. 8 + -8 + 2p = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2p = 12 + -8 2p = 12 + -8 Combine like terms: 12 + -8 = 4 2p = 4 Divide each side by '2'. p = 2 Simplifying p = 2
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