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Simplifying -84 = -4(3k + 6) Reorder the terms: -84 = -4(6 + 3k) -84 = (6 * -4 + 3k * -4) -84 = (-24 + -12k) Solving -84 = -24 + -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 = -24 + -12k + 12k Combine like terms: -12k + 12k = 0 -84 + 12k = -24 + 0 -84 + 12k = -24 Add '84' to each side of the equation. -84 + 84 + 12k = -24 + 84 Combine like terms: -84 + 84 = 0 0 + 12k = -24 + 84 12k = -24 + 84 Combine like terms: -24 + 84 = 60 12k = 60 Divide each side by '12'. k = 5 Simplifying k = 5
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