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Simplifying -1p + 5(8 + 3p) = 82 -1p + (8 * 5 + 3p * 5) = 82 -1p + (40 + 15p) = 82 Reorder the terms: 40 + -1p + 15p = 82 Combine like terms: -1p + 15p = 14p 40 + 14p = 82 Solving 40 + 14p = 82 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 14p = 82 + -40 Combine like terms: 40 + -40 = 0 0 + 14p = 82 + -40 14p = 82 + -40 Combine like terms: 82 + -40 = 42 14p = 42 Divide each side by '14'. p = 3 Simplifying p = 3
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