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Simplifying -12(k + -1) = -1(3k + -6) Reorder the terms: -12(-1 + k) = -1(3k + -6) (-1 * -12 + k * -12) = -1(3k + -6) (12 + -12k) = -1(3k + -6) Reorder the terms: 12 + -12k = -1(-6 + 3k) 12 + -12k = (-6 * -1 + 3k * -1) 12 + -12k = (6 + -3k) Solving 12 + -12k = 6 + -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 + -12k + 3k = 6 + -3k + 3k Combine like terms: -12k + 3k = -9k 12 + -9k = 6 + -3k + 3k Combine like terms: -3k + 3k = 0 12 + -9k = 6 + 0 12 + -9k = 6 Add '-12' to each side of the equation. 12 + -12 + -9k = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -9k = 6 + -12 -9k = 6 + -12 Combine like terms: 6 + -12 = -6 -9k = -6 Divide each side by '-9'. k = 0.6666666667 Simplifying k = 0.6666666667
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