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Simplifying 3813 = 31(p + 40) Reorder the terms: 3813 = 31(40 + p) 3813 = (40 * 31 + p * 31) 3813 = (1240 + 31p) Solving 3813 = 1240 + 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. 3813 + -31p = 1240 + 31p + -31p Combine like terms: 31p + -31p = 0 3813 + -31p = 1240 + 0 3813 + -31p = 1240 Add '-3813' to each side of the equation. 3813 + -3813 + -31p = 1240 + -3813 Combine like terms: 3813 + -3813 = 0 0 + -31p = 1240 + -3813 -31p = 1240 + -3813 Combine like terms: 1240 + -3813 = -2573 -31p = -2573 Divide each side by '-31'. p = 83 Simplifying p = 83
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