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Simplifying 96 = 3 + -3(4k + -3) Reorder the terms: 96 = 3 + -3(-3 + 4k) 96 = 3 + (-3 * -3 + 4k * -3) 96 = 3 + (9 + -12k) Combine like terms: 3 + 9 = 12 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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