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Simplifying -5(-2p + -8) + -1 = 24 + 5p Reorder the terms: -5(-8 + -2p) + -1 = 24 + 5p (-8 * -5 + -2p * -5) + -1 = 24 + 5p (40 + 10p) + -1 = 24 + 5p Reorder the terms: 40 + -1 + 10p = 24 + 5p Combine like terms: 40 + -1 = 39 39 + 10p = 24 + 5p Solving 39 + 10p = 24 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 39 + 10p + -5p = 24 + 5p + -5p Combine like terms: 10p + -5p = 5p 39 + 5p = 24 + 5p + -5p Combine like terms: 5p + -5p = 0 39 + 5p = 24 + 0 39 + 5p = 24 Add '-39' to each side of the equation. 39 + -39 + 5p = 24 + -39 Combine like terms: 39 + -39 = 0 0 + 5p = 24 + -39 5p = 24 + -39 Combine like terms: 24 + -39 = -15 5p = -15 Divide each side by '5'. p = -3 Simplifying p = -3
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