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Simplifying 6k + 2 + -1k = 10 + 2k Reorder the terms: 2 + 6k + -1k = 10 + 2k Combine like terms: 6k + -1k = 5k 2 + 5k = 10 + 2k Solving 2 + 5k = 10 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 2 + 5k + -2k = 10 + 2k + -2k Combine like terms: 5k + -2k = 3k 2 + 3k = 10 + 2k + -2k Combine like terms: 2k + -2k = 0 2 + 3k = 10 + 0 2 + 3k = 10 Add '-2' to each side of the equation. 2 + -2 + 3k = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 3k = 10 + -2 3k = 10 + -2 Combine like terms: 10 + -2 = 8 3k = 8 Divide each side by '3'. k = 2.666666667 Simplifying k = 2.666666667
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