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Simplifying k + 2 = -14 + -20 + -1k Reorder the terms: 2 + k = -14 + -20 + -1k Combine like terms: -14 + -20 = -34 2 + k = -34 + -1k Solving 2 + k = -34 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 2 + k + k = -34 + -1k + k Combine like terms: k + k = 2k 2 + 2k = -34 + -1k + k Combine like terms: -1k + k = 0 2 + 2k = -34 + 0 2 + 2k = -34 Add '-2' to each side of the equation. 2 + -2 + 2k = -34 + -2 Combine like terms: 2 + -2 = 0 0 + 2k = -34 + -2 2k = -34 + -2 Combine like terms: -34 + -2 = -36 2k = -36 Divide each side by '2'. k = -18 Simplifying k = -18
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