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Simplifying -8(12k + -12) = -12(1 + 11k) Reorder the terms: -8(-12 + 12k) = -12(1 + 11k) (-12 * -8 + 12k * -8) = -12(1 + 11k) (96 + -96k) = -12(1 + 11k) 96 + -96k = (1 * -12 + 11k * -12) 96 + -96k = (-12 + -132k) Solving 96 + -96k = -12 + -132k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '132k' to each side of the equation. 96 + -96k + 132k = -12 + -132k + 132k Combine like terms: -96k + 132k = 36k 96 + 36k = -12 + -132k + 132k Combine like terms: -132k + 132k = 0 96 + 36k = -12 + 0 96 + 36k = -12 Add '-96' to each side of the equation. 96 + -96 + 36k = -12 + -96 Combine like terms: 96 + -96 = 0 0 + 36k = -12 + -96 36k = -12 + -96 Combine like terms: -12 + -96 = -108 36k = -108 Divide each side by '36'. k = -3 Simplifying k = -3
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