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Simplifying 96 = 8(k + 4) Reorder the terms: 96 = 8(4 + k) 96 = (4 * 8 + k * 8) 96 = (32 + 8k) Solving 96 = 32 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 96 + -8k = 32 + 8k + -8k Combine like terms: 8k + -8k = 0 96 + -8k = 32 + 0 96 + -8k = 32 Add '-96' to each side of the equation. 96 + -96 + -8k = 32 + -96 Combine like terms: 96 + -96 = 0 0 + -8k = 32 + -96 -8k = 32 + -96 Combine like terms: 32 + -96 = -64 -8k = -64 Divide each side by '-8'. k = 8 Simplifying k = 8
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