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Simplifying -96 = -3(4 + -4k) -96 = (4 * -3 + -4k * -3) -96 = (-12 + 12k) Solving -96 = -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. -96 + -12k = -12 + 12k + -12k Combine like terms: 12k + -12k = 0 -96 + -12k = -12 + 0 -96 + -12k = -12 Add '96' to each side of the equation. -96 + 96 + -12k = -12 + 96 Combine like terms: -96 + 96 = 0 0 + -12k = -12 + 96 -12k = -12 + 96 Combine like terms: -12 + 96 = 84 -12k = 84 Divide each side by '-12'. k = -7 Simplifying k = -7
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