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Simplifying 4100 = 41(p + 20) Reorder the terms: 4100 = 41(20 + p) 4100 = (20 * 41 + p * 41) 4100 = (820 + 41p) Solving 4100 = 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. 4100 + -41p = 820 + 41p + -41p Combine like terms: 41p + -41p = 0 4100 + -41p = 820 + 0 4100 + -41p = 820 Add '-4100' to each side of the equation. 4100 + -4100 + -41p = 820 + -4100 Combine like terms: 4100 + -4100 = 0 0 + -41p = 820 + -4100 -41p = 820 + -4100 Combine like terms: 820 + -4100 = -3280 -41p = -3280 Divide each side by '-41'. p = 80 Simplifying p = 80
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