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Simplifying 1541 = 23(p + 20) Reorder the terms: 1541 = 23(20 + p) 1541 = (20 * 23 + p * 23) 1541 = (460 + 23p) Solving 1541 = 460 + 23p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-23p' to each side of the equation. 1541 + -23p = 460 + 23p + -23p Combine like terms: 23p + -23p = 0 1541 + -23p = 460 + 0 1541 + -23p = 460 Add '-1541' to each side of the equation. 1541 + -1541 + -23p = 460 + -1541 Combine like terms: 1541 + -1541 = 0 0 + -23p = 460 + -1541 -23p = 460 + -1541 Combine like terms: 460 + -1541 = -1081 -23p = -1081 Divide each side by '-23'. p = 47 Simplifying p = 47
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