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Simplifying 4794 = 47(p + 20) Reorder the terms: 4794 = 47(20 + p) 4794 = (20 * 47 + p * 47) 4794 = (940 + 47p) Solving 4794 = 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. 4794 + -47p = 940 + 47p + -47p Combine like terms: 47p + -47p = 0 4794 + -47p = 940 + 0 4794 + -47p = 940 Add '-4794' to each side of the equation. 4794 + -4794 + -47p = 940 + -4794 Combine like terms: 4794 + -4794 = 0 0 + -47p = 940 + -4794 -47p = 940 + -4794 Combine like terms: 940 + -4794 = -3854 -47p = -3854 Divide each side by '-47'. p = 82 Simplifying p = 82
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