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Simplifying 2379 = 39(p + 15) Reorder the terms: 2379 = 39(15 + p) 2379 = (15 * 39 + p * 39) 2379 = (585 + 39p) Solving 2379 = 585 + 39p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-39p' to each side of the equation. 2379 + -39p = 585 + 39p + -39p Combine like terms: 39p + -39p = 0 2379 + -39p = 585 + 0 2379 + -39p = 585 Add '-2379' to each side of the equation. 2379 + -2379 + -39p = 585 + -2379 Combine like terms: 2379 + -2379 = 0 0 + -39p = 585 + -2379 -39p = 585 + -2379 Combine like terms: 585 + -2379 = -1794 -39p = -1794 Divide each side by '-39'. p = 46 Simplifying p = 46
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