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Simplifying -8 + 8(p + 3) = 40 + 5p Reorder the terms: -8 + 8(3 + p) = 40 + 5p -8 + (3 * 8 + p * 8) = 40 + 5p -8 + (24 + 8p) = 40 + 5p Combine like terms: -8 + 24 = 16 16 + 8p = 40 + 5p Solving 16 + 8p = 40 + 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. 16 + 8p + -5p = 40 + 5p + -5p Combine like terms: 8p + -5p = 3p 16 + 3p = 40 + 5p + -5p Combine like terms: 5p + -5p = 0 16 + 3p = 40 + 0 16 + 3p = 40 Add '-16' to each side of the equation. 16 + -16 + 3p = 40 + -16 Combine like terms: 16 + -16 = 0 0 + 3p = 40 + -16 3p = 40 + -16 Combine like terms: 40 + -16 = 24 3p = 24 Divide each side by '3'. p = 8 Simplifying p = 8
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