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Simplifying 6k + 2 = -39 + 5k Reorder the terms: 2 + 6k = -39 + 5k Solving 2 + 6k = -39 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 2 + 6k + -5k = -39 + 5k + -5k Combine like terms: 6k + -5k = 1k 2 + 1k = -39 + 5k + -5k Combine like terms: 5k + -5k = 0 2 + 1k = -39 + 0 2 + 1k = -39 Add '-2' to each side of the equation. 2 + -2 + 1k = -39 + -2 Combine like terms: 2 + -2 = 0 0 + 1k = -39 + -2 1k = -39 + -2 Combine like terms: -39 + -2 = -41 1k = -41 Divide each side by '1'. k = -41 Simplifying k = -41
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