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Simplifying 84 = -6(2k + -2) Reorder the terms: 84 = -6(-2 + 2k) 84 = (-2 * -6 + 2k * -6) 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 = -72 12k = -72 Divide each side by '12'. k = -6 Simplifying k = -6
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