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Simplifying 6(2 + k) = 3(3 + -1k) (2 * 6 + k * 6) = 3(3 + -1k) (12 + 6k) = 3(3 + -1k) 12 + 6k = (3 * 3 + -1k * 3) 12 + 6k = (9 + -3k) Solving 12 + 6k = 9 + -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. 12 + 6k + 3k = 9 + -3k + 3k Combine like terms: 6k + 3k = 9k 12 + 9k = 9 + -3k + 3k Combine like terms: -3k + 3k = 0 12 + 9k = 9 + 0 12 + 9k = 9 Add '-12' to each side of the equation. 12 + -12 + 9k = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 9k = 9 + -12 9k = 9 + -12 Combine like terms: 9 + -12 = -3 9k = -3 Divide each side by '9'. k = -0.3333333333 Simplifying k = -0.3333333333
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