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Simplifying 6 + -3k + 8 + 2k = 5k Reorder the terms: 6 + 8 + -3k + 2k = 5k Combine like terms: 6 + 8 = 14 14 + -3k + 2k = 5k Combine like terms: -3k + 2k = -1k 14 + -1k = 5k Solving 14 + -1k = 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. 14 + -1k + -5k = 5k + -5k Combine like terms: -1k + -5k = -6k 14 + -6k = 5k + -5k Combine like terms: 5k + -5k = 0 14 + -6k = 0 Add '-14' to each side of the equation. 14 + -14 + -6k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -6k = 0 + -14 -6k = 0 + -14 Combine like terms: 0 + -14 = -14 -6k = -14 Divide each side by '-6'. k = 2.333333333 Simplifying k = 2.333333333
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