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Simplifying -84 = 2(-6k + 6) Reorder the terms: -84 = 2(6 + -6k) -84 = (6 * 2 + -6k * 2) -84 = (12 + -12k) Solving -84 = 12 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. -84 + 12k = 12 + -12k + 12k Combine like terms: -12k + 12k = 0 -84 + 12k = 12 + 0 -84 + 12k = 12 Add '84' to each side of the equation. -84 + 84 + 12k = 12 + 84 Combine like terms: -84 + 84 = 0 0 + 12k = 12 + 84 12k = 12 + 84 Combine like terms: 12 + 84 = 96 12k = 96 Divide each side by '12'. k = 8 Simplifying k = 8
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