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Simplifying 3075 = 41(p + 25) Reorder the terms: 3075 = 41(25 + p) 3075 = (25 * 41 + p * 41) 3075 = (1025 + 41p) Solving 3075 = 1025 + 41p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-41p' to each side of the equation. 3075 + -41p = 1025 + 41p + -41p Combine like terms: 41p + -41p = 0 3075 + -41p = 1025 + 0 3075 + -41p = 1025 Add '-3075' to each side of the equation. 3075 + -3075 + -41p = 1025 + -3075 Combine like terms: 3075 + -3075 = 0 0 + -41p = 1025 + -3075 -41p = 1025 + -3075 Combine like terms: 1025 + -3075 = -2050 -41p = -2050 Divide each side by '-41'. p = 50 Simplifying p = 50
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