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Simplifying 12k + 24 = 3k + -39 Reorder the terms: 24 + 12k = 3k + -39 Reorder the terms: 24 + 12k = -39 + 3k Solving 24 + 12k = -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. 24 + 12k + -3k = -39 + 3k + -3k Combine like terms: 12k + -3k = 9k 24 + 9k = -39 + 3k + -3k Combine like terms: 3k + -3k = 0 24 + 9k = -39 + 0 24 + 9k = -39 Add '-24' to each side of the equation. 24 + -24 + 9k = -39 + -24 Combine like terms: 24 + -24 = 0 0 + 9k = -39 + -24 9k = -39 + -24 Combine like terms: -39 + -24 = -63 9k = -63 Divide each side by '9'. k = -7 Simplifying k = -7
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