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Simplifying 3(k + 2) = k + 14 Reorder the terms: 3(2 + k) = k + 14 (2 * 3 + k * 3) = k + 14 (6 + 3k) = k + 14 Reorder the terms: 6 + 3k = 14 + k Solving 6 + 3k = 14 + 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. 6 + 3k + -1k = 14 + k + -1k Combine like terms: 3k + -1k = 2k 6 + 2k = 14 + k + -1k Combine like terms: k + -1k = 0 6 + 2k = 14 + 0 6 + 2k = 14 Add '-6' to each side of the equation. 6 + -6 + 2k = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 2k = 14 + -6 2k = 14 + -6 Combine like terms: 14 + -6 = 8 2k = 8 Divide each side by '2'. k = 4 Simplifying k = 4
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