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Simplifying 84 = -6(k + -6) Reorder the terms: 84 = -6(-6 + k) 84 = (-6 * -6 + k * -6) 84 = (36 + -6k) Solving 84 = 36 + -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. 84 + 6k = 36 + -6k + 6k Combine like terms: -6k + 6k = 0 84 + 6k = 36 + 0 84 + 6k = 36 Add '-84' to each side of the equation. 84 + -84 + 6k = 36 + -84 Combine like terms: 84 + -84 = 0 0 + 6k = 36 + -84 6k = 36 + -84 Combine like terms: 36 + -84 = -48 6k = -48 Divide each side by '6'. k = -8 Simplifying k = -8
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