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Simplifying 4183 = 47(p + 25) Reorder the terms: 4183 = 47(25 + p) 4183 = (25 * 47 + p * 47) 4183 = (1175 + 47p) Solving 4183 = 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. 4183 + -47p = 1175 + 47p + -47p Combine like terms: 47p + -47p = 0 4183 + -47p = 1175 + 0 4183 + -47p = 1175 Add '-4183' to each side of the equation. 4183 + -4183 + -47p = 1175 + -4183 Combine like terms: 4183 + -4183 = 0 0 + -47p = 1175 + -4183 -47p = 1175 + -4183 Combine like terms: 1175 + -4183 = -3008 -47p = -3008 Divide each side by '-47'. p = 64 Simplifying p = 64
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