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Simplifying 4 + 8(p + 11) = 2(p + 4) Reorder the terms: 4 + 8(11 + p) = 2(p + 4) 4 + (11 * 8 + p * 8) = 2(p + 4) 4 + (88 + 8p) = 2(p + 4) Combine like terms: 4 + 88 = 92 92 + 8p = 2(p + 4) Reorder the terms: 92 + 8p = 2(4 + p) 92 + 8p = (4 * 2 + p * 2) 92 + 8p = (8 + 2p) Solving 92 + 8p = 8 + 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. 92 + 8p + -2p = 8 + 2p + -2p Combine like terms: 8p + -2p = 6p 92 + 6p = 8 + 2p + -2p Combine like terms: 2p + -2p = 0 92 + 6p = 8 + 0 92 + 6p = 8 Add '-92' to each side of the equation. 92 + -92 + 6p = 8 + -92 Combine like terms: 92 + -92 = 0 0 + 6p = 8 + -92 6p = 8 + -92 Combine like terms: 8 + -92 = -84 6p = -84 Divide each side by '6'. p = -14 Simplifying p = -14
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