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Simplifying 8(12 + -1k) = 5n + -43 (12 * 8 + -1k * 8) = 5n + -43 (96 + -8k) = 5n + -43 Reorder the terms: 96 + -8k = -43 + 5n Solving 96 + -8k = -43 + 5n Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + -8k = -43 + -96 + 5n Combine like terms: 96 + -96 = 0 0 + -8k = -43 + -96 + 5n -8k = -43 + -96 + 5n Combine like terms: -43 + -96 = -139 -8k = -139 + 5n Divide each side by '-8'. k = 17.375 + -0.625n Simplifying k = 17.375 + -0.625n
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