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Simplifying 8(p + 4) + -9 = 2p + -31 Reorder the terms: 8(4 + p) + -9 = 2p + -31 (4 * 8 + p * 8) + -9 = 2p + -31 (32 + 8p) + -9 = 2p + -31 Reorder the terms: 32 + -9 + 8p = 2p + -31 Combine like terms: 32 + -9 = 23 23 + 8p = 2p + -31 Reorder the terms: 23 + 8p = -31 + 2p Solving 23 + 8p = -31 + 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. 23 + 8p + -2p = -31 + 2p + -2p Combine like terms: 8p + -2p = 6p 23 + 6p = -31 + 2p + -2p Combine like terms: 2p + -2p = 0 23 + 6p = -31 + 0 23 + 6p = -31 Add '-23' to each side of the equation. 23 + -23 + 6p = -31 + -23 Combine like terms: 23 + -23 = 0 0 + 6p = -31 + -23 6p = -31 + -23 Combine like terms: -31 + -23 = -54 6p = -54 Divide each side by '6'. p = -9 Simplifying p = -9
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