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Simplifying 5217 = 47(p + 25) Reorder the terms: 5217 = 47(25 + p) 5217 = (25 * 47 + p * 47) 5217 = (1175 + 47p) Solving 5217 = 1175 + 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. 5217 + -47p = 1175 + 47p + -47p Combine like terms: 47p + -47p = 0 5217 + -47p = 1175 + 0 5217 + -47p = 1175 Add '-5217' to each side of the equation. 5217 + -5217 + -47p = 1175 + -5217 Combine like terms: 5217 + -5217 = 0 0 + -47p = 1175 + -5217 -47p = 1175 + -5217 Combine like terms: 1175 + -5217 = -4042 -47p = -4042 Divide each side by '-47'. p = 86 Simplifying p = 86
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