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Simplifying 2(11 + -1k) + 14 = k (11 * 2 + -1k * 2) + 14 = k (22 + -2k) + 14 = k Reorder the terms: 22 + 14 + -2k = k Combine like terms: 22 + 14 = 36 36 + -2k = k Solving 36 + -2k = 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. 36 + -2k + -1k = k + -1k Combine like terms: -2k + -1k = -3k 36 + -3k = k + -1k Combine like terms: k + -1k = 0 36 + -3k = 0 Add '-36' to each side of the equation. 36 + -36 + -3k = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -3k = 0 + -36 -3k = 0 + -36 Combine like terms: 0 + -36 = -36 -3k = -36 Divide each side by '-3'. k = 12 Simplifying k = 12
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