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Simplifying -1k + 6 + -5k = 14 + -2k Reorder the terms: 6 + -1k + -5k = 14 + -2k Combine like terms: -1k + -5k = -6k 6 + -6k = 14 + -2k Solving 6 + -6k = 14 + -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. 6 + -6k + 2k = 14 + -2k + 2k Combine like terms: -6k + 2k = -4k 6 + -4k = 14 + -2k + 2k Combine like terms: -2k + 2k = 0 6 + -4k = 14 + 0 6 + -4k = 14 Add '-6' to each side of the equation. 6 + -6 + -4k = 14 + -6 Combine like terms: 6 + -6 = 0 0 + -4k = 14 + -6 -4k = 14 + -6 Combine like terms: 14 + -6 = 8 -4k = 8 Divide each side by '-4'. k = -2 Simplifying k = -2
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