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Simplifying 2619 = 27(p + 30) Reorder the terms: 2619 = 27(30 + p) 2619 = (30 * 27 + p * 27) 2619 = (810 + 27p) Solving 2619 = 810 + 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. 2619 + -27p = 810 + 27p + -27p Combine like terms: 27p + -27p = 0 2619 + -27p = 810 + 0 2619 + -27p = 810 Add '-2619' to each side of the equation. 2619 + -2619 + -27p = 810 + -2619 Combine like terms: 2619 + -2619 = 0 0 + -27p = 810 + -2619 -27p = 810 + -2619 Combine like terms: 810 + -2619 = -1809 -27p = -1809 Divide each side by '-27'. p = 67 Simplifying p = 67
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