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Simplifying 3193 = 31(p + 25) Reorder the terms: 3193 = 31(25 + p) 3193 = (25 * 31 + p * 31) 3193 = (775 + 31p) Solving 3193 = 775 + 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. 3193 + -31p = 775 + 31p + -31p Combine like terms: 31p + -31p = 0 3193 + -31p = 775 + 0 3193 + -31p = 775 Add '-3193' to each side of the equation. 3193 + -3193 + -31p = 775 + -3193 Combine like terms: 3193 + -3193 = 0 0 + -31p = 775 + -3193 -31p = 775 + -3193 Combine like terms: 775 + -3193 = -2418 -31p = -2418 Divide each side by '-31'. p = 78 Simplifying p = 78
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