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Simplifying -96 = 3(8k + 8) Reorder the terms: -96 = 3(8 + 8k) -96 = (8 * 3 + 8k * 3) -96 = (24 + 24k) Solving -96 = 24 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. -96 + -24k = 24 + 24k + -24k Combine like terms: 24k + -24k = 0 -96 + -24k = 24 + 0 -96 + -24k = 24 Add '96' to each side of the equation. -96 + 96 + -24k = 24 + 96 Combine like terms: -96 + 96 = 0 0 + -24k = 24 + 96 -24k = 24 + 96 Combine like terms: 24 + 96 = 120 -24k = 120 Divide each side by '-24'. k = -5 Simplifying k = -5
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