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Simplifying -3 + 8(p + 1) = -2p + -5 Reorder the terms: -3 + 8(1 + p) = -2p + -5 -3 + (1 * 8 + p * 8) = -2p + -5 -3 + (8 + 8p) = -2p + -5 Combine like terms: -3 + 8 = 5 5 + 8p = -2p + -5 Reorder the terms: 5 + 8p = -5 + -2p Solving 5 + 8p = -5 + -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. 5 + 8p + 2p = -5 + -2p + 2p Combine like terms: 8p + 2p = 10p 5 + 10p = -5 + -2p + 2p Combine like terms: -2p + 2p = 0 5 + 10p = -5 + 0 5 + 10p = -5 Add '-5' to each side of the equation. 5 + -5 + 10p = -5 + -5 Combine like terms: 5 + -5 = 0 0 + 10p = -5 + -5 10p = -5 + -5 Combine like terms: -5 + -5 = -10 10p = -10 Divide each side by '10'. p = -1 Simplifying p = -1
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