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Simplifying 2(k + 7) = 11 + k Reorder the terms: 2(7 + k) = 11 + k (7 * 2 + k * 2) = 11 + k (14 + 2k) = 11 + k Solving 14 + 2k = 11 + 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 + 2k + -1k = 11 + k + -1k Combine like terms: 2k + -1k = 1k 14 + 1k = 11 + k + -1k Combine like terms: k + -1k = 0 14 + 1k = 11 + 0 14 + 1k = 11 Add '-14' to each side of the equation. 14 + -14 + 1k = 11 + -14 Combine like terms: 14 + -14 = 0 0 + 1k = 11 + -14 1k = 11 + -14 Combine like terms: 11 + -14 = -3 1k = -3 Divide each side by '1'. k = -3 Simplifying k = -3
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