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Simplifying 8(4p + 7) = -40 + 8p Reorder the terms: 8(7 + 4p) = -40 + 8p (7 * 8 + 4p * 8) = -40 + 8p (56 + 32p) = -40 + 8p Solving 56 + 32p = -40 + 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. 56 + 32p + -8p = -40 + 8p + -8p Combine like terms: 32p + -8p = 24p 56 + 24p = -40 + 8p + -8p Combine like terms: 8p + -8p = 0 56 + 24p = -40 + 0 56 + 24p = -40 Add '-56' to each side of the equation. 56 + -56 + 24p = -40 + -56 Combine like terms: 56 + -56 = 0 0 + 24p = -40 + -56 24p = -40 + -56 Combine like terms: -40 + -56 = -96 24p = -96 Divide each side by '24'. p = -4 Simplifying p = -4
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