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