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Simplifying 1403 = 23(p + 15) Reorder the terms: 1403 = 23(15 + p) 1403 = (15 * 23 + p * 23) 1403 = (345 + 23p) Solving 1403 = 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. 1403 + -23p = 345 + 23p + -23p Combine like terms: 23p + -23p = 0 1403 + -23p = 345 + 0 1403 + -23p = 345 Add '-1403' to each side of the equation. 1403 + -1403 + -23p = 345 + -1403 Combine like terms: 1403 + -1403 = 0 0 + -23p = 345 + -1403 -23p = 345 + -1403 Combine like terms: 345 + -1403 = -1058 -23p = -1058 Divide each side by '-23'. p = 46 Simplifying p = 46
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