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Simplifying 6k + 2 + -2k = k + -3 Reorder the terms: 2 + 6k + -2k = k + -3 Combine like terms: 6k + -2k = 4k 2 + 4k = k + -3 Reorder the terms: 2 + 4k = -3 + k Solving 2 + 4k = -3 + 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. 2 + 4k + -1k = -3 + k + -1k Combine like terms: 4k + -1k = 3k 2 + 3k = -3 + k + -1k Combine like terms: k + -1k = 0 2 + 3k = -3 + 0 2 + 3k = -3 Add '-2' to each side of the equation. 2 + -2 + 3k = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 3k = -3 + -2 3k = -3 + -2 Combine like terms: -3 + -2 = -5 3k = -5 Divide each side by '3'. k = -1.666666667 Simplifying k = -1.666666667
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