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Simplifying 6 + -1k = -3k + 2 Reorder the terms: 6 + -1k = 2 + -3k Solving 6 + -1k = 2 + -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. 6 + -1k + 3k = 2 + -3k + 3k Combine like terms: -1k + 3k = 2k 6 + 2k = 2 + -3k + 3k Combine like terms: -3k + 3k = 0 6 + 2k = 2 + 0 6 + 2k = 2 Add '-6' to each side of the equation. 6 + -6 + 2k = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 2k = 2 + -6 2k = 2 + -6 Combine like terms: 2 + -6 = -4 2k = -4 Divide each side by '2'. k = -2 Simplifying k = -2
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