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Simplifying 2403 = 27(p + 15) Reorder the terms: 2403 = 27(15 + p) 2403 = (15 * 27 + p * 27) 2403 = (405 + 27p) Solving 2403 = 405 + 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. 2403 + -27p = 405 + 27p + -27p Combine like terms: 27p + -27p = 0 2403 + -27p = 405 + 0 2403 + -27p = 405 Add '-2403' to each side of the equation. 2403 + -2403 + -27p = 405 + -2403 Combine like terms: 2403 + -2403 = 0 0 + -27p = 405 + -2403 -27p = 405 + -2403 Combine like terms: 405 + -2403 = -1998 -27p = -1998 Divide each side by '-27'. p = 74 Simplifying p = 74
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