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Simplifying 3042 = 39(p + 30) Reorder the terms: 3042 = 39(30 + p) 3042 = (30 * 39 + p * 39) 3042 = (1170 + 39p) Solving 3042 = 1170 + 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. 3042 + -39p = 1170 + 39p + -39p Combine like terms: 39p + -39p = 0 3042 + -39p = 1170 + 0 3042 + -39p = 1170 Add '-3042' to each side of the equation. 3042 + -3042 + -39p = 1170 + -3042 Combine like terms: 3042 + -3042 = 0 0 + -39p = 1170 + -3042 -39p = 1170 + -3042 Combine like terms: 1170 + -3042 = -1872 -39p = -1872 Divide each side by '-39'. p = 48 Simplifying p = 48
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