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Simplifying -8p + 5(7 + 3p) = 84 -8p + (7 * 5 + 3p * 5) = 84 -8p + (35 + 15p) = 84 Reorder the terms: 35 + -8p + 15p = 84 Combine like terms: -8p + 15p = 7p 35 + 7p = 84 Solving 35 + 7p = 84 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 7p = 84 + -35 Combine like terms: 35 + -35 = 0 0 + 7p = 84 + -35 7p = 84 + -35 Combine like terms: 84 + -35 = 49 7p = 49 Divide each side by '7'. p = 7 Simplifying p = 7
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