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Simplifying 12k = -6(k + 9) Reorder the terms: 12k = -6(9 + k) 12k = (9 * -6 + k * -6) 12k = (-54 + -6k) Solving 12k = -54 + -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. 12k + 6k = -54 + -6k + 6k Combine like terms: 12k + 6k = 18k 18k = -54 + -6k + 6k Combine like terms: -6k + 6k = 0 18k = -54 + 0 18k = -54 Divide each side by '18'. k = -3 Simplifying k = -3
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