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Simplifying 2542 = 41(p + 20) Reorder the terms: 2542 = 41(20 + p) 2542 = (20 * 41 + p * 41) 2542 = (820 + 41p) Solving 2542 = 820 + 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. 2542 + -41p = 820 + 41p + -41p Combine like terms: 41p + -41p = 0 2542 + -41p = 820 + 0 2542 + -41p = 820 Add '-2542' to each side of the equation. 2542 + -2542 + -41p = 820 + -2542 Combine like terms: 2542 + -2542 = 0 0 + -41p = 820 + -2542 -41p = 820 + -2542 Combine like terms: 820 + -2542 = -1722 -41p = -1722 Divide each side by '-41'. p = 42 Simplifying p = 42
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