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Simplifying 8(p + 7) = 24p Reorder the terms: 8(7 + p) = 24p (7 * 8 + p * 8) = 24p (56 + 8p) = 24p Solving 56 + 8p = 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. 56 + 8p + -24p = 24p + -24p Combine like terms: 8p + -24p = -16p 56 + -16p = 24p + -24p Combine like terms: 24p + -24p = 0 56 + -16p = 0 Add '-56' to each side of the equation. 56 + -56 + -16p = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -16p = 0 + -56 -16p = 0 + -56 Combine like terms: 0 + -56 = -56 -16p = -56 Divide each side by '-16'. p = 3.5 Simplifying p = 3.5
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