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Simplifying 7 + 2(p + 6) = -1(1 + 8p) Reorder the terms: 7 + 2(6 + p) = -1(1 + 8p) 7 + (6 * 2 + p * 2) = -1(1 + 8p) 7 + (12 + 2p) = -1(1 + 8p) Combine like terms: 7 + 12 = 19 19 + 2p = -1(1 + 8p) 19 + 2p = (1 * -1 + 8p * -1) 19 + 2p = (-1 + -8p) Solving 19 + 2p = -1 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 19 + 2p + 8p = -1 + -8p + 8p Combine like terms: 2p + 8p = 10p 19 + 10p = -1 + -8p + 8p Combine like terms: -8p + 8p = 0 19 + 10p = -1 + 0 19 + 10p = -1 Add '-19' to each side of the equation. 19 + -19 + 10p = -1 + -19 Combine like terms: 19 + -19 = 0 0 + 10p = -1 + -19 10p = -1 + -19 Combine like terms: -1 + -19 = -20 10p = -20 Divide each side by '10'. p = -2 Simplifying p = -2
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