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Simplifying 2889 = 27(p + 25) Reorder the terms: 2889 = 27(25 + p) 2889 = (25 * 27 + p * 27) 2889 = (675 + 27p) Solving 2889 = 675 + 27p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-27p' to each side of the equation. 2889 + -27p = 675 + 27p + -27p Combine like terms: 27p + -27p = 0 2889 + -27p = 675 + 0 2889 + -27p = 675 Add '-2889' to each side of the equation. 2889 + -2889 + -27p = 675 + -2889 Combine like terms: 2889 + -2889 = 0 0 + -27p = 675 + -2889 -27p = 675 + -2889 Combine like terms: 675 + -2889 = -2214 -27p = -2214 Divide each side by '-27'. p = 82 Simplifying p = 82
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