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Simplifying 2883 = 31(p + 15) Reorder the terms: 2883 = 31(15 + p) 2883 = (15 * 31 + p * 31) 2883 = (465 + 31p) Solving 2883 = 465 + 31p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-31p' to each side of the equation. 2883 + -31p = 465 + 31p + -31p Combine like terms: 31p + -31p = 0 2883 + -31p = 465 + 0 2883 + -31p = 465 Add '-2883' to each side of the equation. 2883 + -2883 + -31p = 465 + -2883 Combine like terms: 2883 + -2883 = 0 0 + -31p = 465 + -2883 -31p = 465 + -2883 Combine like terms: 465 + -2883 = -2418 -31p = -2418 Divide each side by '-31'. p = 78 Simplifying p = 78
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