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Simplifying 1449 = 23(p + 25) Reorder the terms: 1449 = 23(25 + p) 1449 = (25 * 23 + p * 23) 1449 = (575 + 23p) Solving 1449 = 575 + 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. 1449 + -23p = 575 + 23p + -23p Combine like terms: 23p + -23p = 0 1449 + -23p = 575 + 0 1449 + -23p = 575 Add '-1449' to each side of the equation. 1449 + -1449 + -23p = 575 + -1449 Combine like terms: 1449 + -1449 = 0 0 + -23p = 575 + -1449 -23p = 575 + -1449 Combine like terms: 575 + -1449 = -874 -23p = -874 Divide each side by '-23'. p = 38 Simplifying p = 38
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