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Simplifying -14 + -1k = k + 2 Reorder the terms: -14 + -1k = 2 + k Solving -14 + -1k = 2 + 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. -14 + -1k + -1k = 2 + k + -1k Combine like terms: -1k + -1k = -2k -14 + -2k = 2 + k + -1k Combine like terms: k + -1k = 0 -14 + -2k = 2 + 0 -14 + -2k = 2 Add '14' to each side of the equation. -14 + 14 + -2k = 2 + 14 Combine like terms: -14 + 14 = 0 0 + -2k = 2 + 14 -2k = 2 + 14 Combine like terms: 2 + 14 = 16 -2k = 16 Divide each side by '-2'. k = -8 Simplifying k = -8
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