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Simplifying 2(3k + 7) = 18 + 5k Reorder the terms: 2(7 + 3k) = 18 + 5k (7 * 2 + 3k * 2) = 18 + 5k (14 + 6k) = 18 + 5k Solving 14 + 6k = 18 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 14 + 6k + -5k = 18 + 5k + -5k Combine like terms: 6k + -5k = 1k 14 + 1k = 18 + 5k + -5k Combine like terms: 5k + -5k = 0 14 + 1k = 18 + 0 14 + 1k = 18 Add '-14' to each side of the equation. 14 + -14 + 1k = 18 + -14 Combine like terms: 14 + -14 = 0 0 + 1k = 18 + -14 1k = 18 + -14 Combine like terms: 18 + -14 = 4 1k = 4 Divide each side by '1'. k = 4 Simplifying k = 4
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