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Simplifying 1771 = 23(p + 30) Reorder the terms: 1771 = 23(30 + p) 1771 = (30 * 23 + p * 23) 1771 = (690 + 23p) Solving 1771 = 690 + 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. 1771 + -23p = 690 + 23p + -23p Combine like terms: 23p + -23p = 0 1771 + -23p = 690 + 0 1771 + -23p = 690 Add '-1771' to each side of the equation. 1771 + -1771 + -23p = 690 + -1771 Combine like terms: 1771 + -1771 = 0 0 + -23p = 690 + -1771 -23p = 690 + -1771 Combine like terms: 690 + -1771 = -1081 -23p = -1081 Divide each side by '-23'. p = 47 Simplifying p = 47
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