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Simplifying 3(1 + 4k) = 39 + -6k (1 * 3 + 4k * 3) = 39 + -6k (3 + 12k) = 39 + -6k Solving 3 + 12k = 39 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 3 + 12k + 6k = 39 + -6k + 6k Combine like terms: 12k + 6k = 18k 3 + 18k = 39 + -6k + 6k Combine like terms: -6k + 6k = 0 3 + 18k = 39 + 0 3 + 18k = 39 Add '-3' to each side of the equation. 3 + -3 + 18k = 39 + -3 Combine like terms: 3 + -3 = 0 0 + 18k = 39 + -3 18k = 39 + -3 Combine like terms: 39 + -3 = 36 18k = 36 Divide each side by '18'. k = 2 Simplifying k = 2
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