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Simplifying 2277 = 23(p + 15) Reorder the terms: 2277 = 23(15 + p) 2277 = (15 * 23 + p * 23) 2277 = (345 + 23p) Solving 2277 = 345 + 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. 2277 + -23p = 345 + 23p + -23p Combine like terms: 23p + -23p = 0 2277 + -23p = 345 + 0 2277 + -23p = 345 Add '-2277' to each side of the equation. 2277 + -2277 + -23p = 345 + -2277 Combine like terms: 2277 + -2277 = 0 0 + -23p = 345 + -2277 -23p = 345 + -2277 Combine like terms: 345 + -2277 = -1932 -23p = -1932 Divide each side by '-23'. p = 84 Simplifying p = 84
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