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Simplifying 96 = -4(5k + 6) Reorder the terms: 96 = -4(6 + 5k) 96 = (6 * -4 + 5k * -4) 96 = (-24 + -20k) Solving 96 = -24 + -20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20k' to each side of the equation. 96 + 20k = -24 + -20k + 20k Combine like terms: -20k + 20k = 0 96 + 20k = -24 + 0 96 + 20k = -24 Add '-96' to each side of the equation. 96 + -96 + 20k = -24 + -96 Combine like terms: 96 + -96 = 0 0 + 20k = -24 + -96 20k = -24 + -96 Combine like terms: -24 + -96 = -120 20k = -120 Divide each side by '20'. k = -6 Simplifying k = -6
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