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Simplifying 5123 = 47(p + 20) Reorder the terms: 5123 = 47(20 + p) 5123 = (20 * 47 + p * 47) 5123 = (940 + 47p) Solving 5123 = 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. 5123 + -47p = 940 + 47p + -47p Combine like terms: 47p + -47p = 0 5123 + -47p = 940 + 0 5123 + -47p = 940 Add '-5123' to each side of the equation. 5123 + -5123 + -47p = 940 + -5123 Combine like terms: 5123 + -5123 = 0 0 + -47p = 940 + -5123 -47p = 940 + -5123 Combine like terms: 940 + -5123 = -4183 -47p = -4183 Divide each side by '-47'. p = 89 Simplifying p = 89
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