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Simplifying 2412 = 36(p + 30) Reorder the terms: 2412 = 36(30 + p) 2412 = (30 * 36 + p * 36) 2412 = (1080 + 36p) Solving 2412 = 1080 + 36p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-36p' to each side of the equation. 2412 + -36p = 1080 + 36p + -36p Combine like terms: 36p + -36p = 0 2412 + -36p = 1080 + 0 2412 + -36p = 1080 Add '-2412' to each side of the equation. 2412 + -2412 + -36p = 1080 + -2412 Combine like terms: 2412 + -2412 = 0 0 + -36p = 1080 + -2412 -36p = 1080 + -2412 Combine like terms: 1080 + -2412 = -1332 -36p = -1332 Divide each side by '-36'. p = 37 Simplifying p = 37
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