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Simplifying -1(-4 + -12k) + -1 = -3(6k + 9) (-4 * -1 + -12k * -1) + -1 = -3(6k + 9) (4 + 12k) + -1 = -3(6k + 9) Reorder the terms: 4 + -1 + 12k = -3(6k + 9) Combine like terms: 4 + -1 = 3 3 + 12k = -3(6k + 9) Reorder the terms: 3 + 12k = -3(9 + 6k) 3 + 12k = (9 * -3 + 6k * -3) 3 + 12k = (-27 + -18k) Solving 3 + 12k = -27 + -18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18k' to each side of the equation. 3 + 12k + 18k = -27 + -18k + 18k Combine like terms: 12k + 18k = 30k 3 + 30k = -27 + -18k + 18k Combine like terms: -18k + 18k = 0 3 + 30k = -27 + 0 3 + 30k = -27 Add '-3' to each side of the equation. 3 + -3 + 30k = -27 + -3 Combine like terms: 3 + -3 = 0 0 + 30k = -27 + -3 30k = -27 + -3 Combine like terms: -27 + -3 = -30 30k = -30 Divide each side by '30'. k = -1 Simplifying k = -1
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