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Simplifying -6 + 6 + -2k + 3 = k + 6 Reorder the terms: -6 + 6 + 3 + -2k = k + 6 Combine like terms: -6 + 6 = 0 0 + 3 + -2k = k + 6 3 + -2k = k + 6 Reorder the terms: 3 + -2k = 6 + k Solving 3 + -2k = 6 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 3 + -2k + -1k = 6 + k + -1k Combine like terms: -2k + -1k = -3k 3 + -3k = 6 + k + -1k Combine like terms: k + -1k = 0 3 + -3k = 6 + 0 3 + -3k = 6 Add '-3' to each side of the equation. 3 + -3 + -3k = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -3k = 6 + -3 -3k = 6 + -3 Combine like terms: 6 + -3 = 3 -3k = 3 Divide each side by '-3'. k = -1 Simplifying k = -1
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