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Simplifying -4k + 10k + 12 = -3k + -39 Reorder the terms: 12 + -4k + 10k = -3k + -39 Combine like terms: -4k + 10k = 6k 12 + 6k = -3k + -39 Reorder the terms: 12 + 6k = -39 + -3k Solving 12 + 6k = -39 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 12 + 6k + 3k = -39 + -3k + 3k Combine like terms: 6k + 3k = 9k 12 + 9k = -39 + -3k + 3k Combine like terms: -3k + 3k = 0 12 + 9k = -39 + 0 12 + 9k = -39 Add '-12' to each side of the equation. 12 + -12 + 9k = -39 + -12 Combine like terms: 12 + -12 = 0 0 + 9k = -39 + -12 9k = -39 + -12 Combine like terms: -39 + -12 = -51 9k = -51 Divide each side by '9'. k = -5.666666667 Simplifying k = -5.666666667
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