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Simplifying -3(1 + -6k) = 6k (1 * -3 + -6k * -3) = 6k (-3 + 18k) = 6k Solving -3 + 18k = 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 + 18k + -6k = 6k + -6k Combine like terms: 18k + -6k = 12k -3 + 12k = 6k + -6k Combine like terms: 6k + -6k = 0 -3 + 12k = 0 Add '3' to each side of the equation. -3 + 3 + 12k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 12k = 0 + 3 12k = 0 + 3 Combine like terms: 0 + 3 = 3 12k = 3 Divide each side by '12'. k = 0.25 Simplifying k = 0.25
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