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Simplifying 6 + -4k = -5k + 14 Reorder the terms: 6 + -4k = 14 + -5k Solving 6 + -4k = 14 + -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. 6 + -4k + 5k = 14 + -5k + 5k Combine like terms: -4k + 5k = 1k 6 + 1k = 14 + -5k + 5k Combine like terms: -5k + 5k = 0 6 + 1k = 14 + 0 6 + 1k = 14 Add '-6' to each side of the equation. 6 + -6 + 1k = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 1k = 14 + -6 1k = 14 + -6 Combine like terms: 14 + -6 = 8 1k = 8 Divide each side by '1'. k = 8 Simplifying k = 8
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