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Simplifying -11 + 10(p + 10) = 12(2k + 12) Reorder the terms: -11 + 10(10 + p) = 12(2k + 12) -11 + (10 * 10 + p * 10) = 12(2k + 12) -11 + (100 + 10p) = 12(2k + 12) Combine like terms: -11 + 100 = 89 89 + 10p = 12(2k + 12) Reorder the terms: 89 + 10p = 12(12 + 2k) 89 + 10p = (12 * 12 + 2k * 12) 89 + 10p = (144 + 24k) Solving 89 + 10p = 144 + 24k Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-89' to each side of the equation. 89 + -89 + 10p = 144 + -89 + 24k Combine like terms: 89 + -89 = 0 0 + 10p = 144 + -89 + 24k 10p = 144 + -89 + 24k Combine like terms: 144 + -89 = 55 10p = 55 + 24k Divide each side by '10'. p = 5.5 + 2.4k Simplifying p = 5.5 + 2.4k
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