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Simplifying -10n + 3(8 + 8n) = 12(2k + 12) -10n + (8 * 3 + 8n * 3) = 12(2k + 12) -10n + (24 + 24n) = 12(2k + 12) Reorder the terms: 24 + -10n + 24n = 12(2k + 12) Combine like terms: -10n + 24n = 14n 24 + 14n = 12(2k + 12) Reorder the terms: 24 + 14n = 12(12 + 2k) 24 + 14n = (12 * 12 + 2k * 12) 24 + 14n = (144 + 24k) Solving 24 + 14n = 144 + 24k Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 14n = 144 + -24 + 24k Combine like terms: 24 + -24 = 0 0 + 14n = 144 + -24 + 24k 14n = 144 + -24 + 24k Combine like terms: 144 + -24 = 120 14n = 120 + 24k Divide each side by '14'. n = 8.571428571 + 1.714285714k Simplifying n = 8.571428571 + 1.714285714k
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