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Simplifying 14 + -1k = 2k + -13 Reorder the terms: 14 + -1k = -13 + 2k Solving 14 + -1k = -13 + 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. 14 + -1k + -2k = -13 + 2k + -2k Combine like terms: -1k + -2k = -3k 14 + -3k = -13 + 2k + -2k Combine like terms: 2k + -2k = 0 14 + -3k = -13 + 0 14 + -3k = -13 Add '-14' to each side of the equation. 14 + -14 + -3k = -13 + -14 Combine like terms: 14 + -14 = 0 0 + -3k = -13 + -14 -3k = -13 + -14 Combine like terms: -13 + -14 = -27 -3k = -27 Divide each side by '-3'. k = 9 Simplifying k = 9
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