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Simplifying 2254 = 23(p + 30) Reorder the terms: 2254 = 23(30 + p) 2254 = (30 * 23 + p * 23) 2254 = (690 + 23p) Solving 2254 = 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. 2254 + -23p = 690 + 23p + -23p Combine like terms: 23p + -23p = 0 2254 + -23p = 690 + 0 2254 + -23p = 690 Add '-2254' to each side of the equation. 2254 + -2254 + -23p = 690 + -2254 Combine like terms: 2254 + -2254 = 0 0 + -23p = 690 + -2254 -23p = 690 + -2254 Combine like terms: 690 + -2254 = -1564 -23p = -1564 Divide each side by '-23'. p = 68 Simplifying p = 68
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