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Simplifying 3807 = 47(p + 20) Reorder the terms: 3807 = 47(20 + p) 3807 = (20 * 47 + p * 47) 3807 = (940 + 47p) Solving 3807 = 940 + 47p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-47p' to each side of the equation. 3807 + -47p = 940 + 47p + -47p Combine like terms: 47p + -47p = 0 3807 + -47p = 940 + 0 3807 + -47p = 940 Add '-3807' to each side of the equation. 3807 + -3807 + -47p = 940 + -3807 Combine like terms: 3807 + -3807 = 0 0 + -47p = 940 + -3807 -47p = 940 + -3807 Combine like terms: 940 + -3807 = -2867 -47p = -2867 Divide each side by '-47'. p = 61 Simplifying p = 61
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