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Simplifying -8(7 + -3p) = 40 + 8p (7 * -8 + -3p * -8) = 40 + 8p (-56 + 24p) = 40 + 8p Solving -56 + 24p = 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 + 24p + -8p = 40 + 8p + -8p Combine like terms: 24p + -8p = 16p -56 + 16p = 40 + 8p + -8p Combine like terms: 8p + -8p = 0 -56 + 16p = 40 + 0 -56 + 16p = 40 Add '56' to each side of the equation. -56 + 56 + 16p = 40 + 56 Combine like terms: -56 + 56 = 0 0 + 16p = 40 + 56 16p = 40 + 56 Combine like terms: 40 + 56 = 96 16p = 96 Divide each side by '16'. p = 6 Simplifying p = 6
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