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Simplifying -8k + 4(1 + 5k) = -6n + -14 -8k + (1 * 4 + 5k * 4) = -6n + -14 -8k + (4 + 20k) = -6n + -14 Reorder the terms: 4 + -8k + 20k = -6n + -14 Combine like terms: -8k + 20k = 12k 4 + 12k = -6n + -14 Reorder the terms: 4 + 12k = -14 + -6n Solving 4 + 12k = -14 + -6n Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 12k = -14 + -4 + -6n Combine like terms: 4 + -4 = 0 0 + 12k = -14 + -4 + -6n 12k = -14 + -4 + -6n Combine like terms: -14 + -4 = -18 12k = -18 + -6n Divide each side by '12'. k = -1.5 + -0.5n Simplifying k = -1.5 + -0.5n
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