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Simplifying -4k + 10k + 12 = -2K + -39 Reorder the terms: 12 + -4k + 10k = -2K + -39 Combine like terms: -4k + 10k = 6k 12 + 6k = -2K + -39 Reorder the terms: 12 + 6k = -39 + -2K Solving 12 + 6k = -39 + -2K Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6k = -39 + -12 + -2K Combine like terms: 12 + -12 = 0 0 + 6k = -39 + -12 + -2K 6k = -39 + -12 + -2K Combine like terms: -39 + -12 = -51 6k = -51 + -2K Divide each side by '6'. k = -8.5 + -0.3333333333K Simplifying k = -8.5 + -0.3333333333K
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