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Simplifying 5123 = 47(p + 35) Reorder the terms: 5123 = 47(35 + p) 5123 = (35 * 47 + p * 47) 5123 = (1645 + 47p) Solving 5123 = 1645 + 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 = 1645 + 47p + -47p Combine like terms: 47p + -47p = 0 5123 + -47p = 1645 + 0 5123 + -47p = 1645 Add '-5123' to each side of the equation. 5123 + -5123 + -47p = 1645 + -5123 Combine like terms: 5123 + -5123 = 0 0 + -47p = 1645 + -5123 -47p = 1645 + -5123 Combine like terms: 1645 + -5123 = -3478 -47p = -3478 Divide each side by '-47'. p = 74 Simplifying p = 74
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