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Simplifying 3652 = 44(p + 25) Reorder the terms: 3652 = 44(25 + p) 3652 = (25 * 44 + p * 44) 3652 = (1100 + 44p) Solving 3652 = 1100 + 44p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-44p' to each side of the equation. 3652 + -44p = 1100 + 44p + -44p Combine like terms: 44p + -44p = 0 3652 + -44p = 1100 + 0 3652 + -44p = 1100 Add '-3652' to each side of the equation. 3652 + -3652 + -44p = 1100 + -3652 Combine like terms: 3652 + -3652 = 0 0 + -44p = 1100 + -3652 -44p = 1100 + -3652 Combine like terms: 1100 + -3652 = -2552 -44p = -2552 Divide each side by '-44'. p = 58 Simplifying p = 58
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