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Simplifying 3(4k + 8) + -8 = 28 + 8k Reorder the terms: 3(8 + 4k) + -8 = 28 + 8k (8 * 3 + 4k * 3) + -8 = 28 + 8k (24 + 12k) + -8 = 28 + 8k Reorder the terms: 24 + -8 + 12k = 28 + 8k Combine like terms: 24 + -8 = 16 16 + 12k = 28 + 8k Solving 16 + 12k = 28 + 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. 16 + 12k + -8k = 28 + 8k + -8k Combine like terms: 12k + -8k = 4k 16 + 4k = 28 + 8k + -8k Combine like terms: 8k + -8k = 0 16 + 4k = 28 + 0 16 + 4k = 28 Add '-16' to each side of the equation. 16 + -16 + 4k = 28 + -16 Combine like terms: 16 + -16 = 0 0 + 4k = 28 + -16 4k = 28 + -16 Combine like terms: 28 + -16 = 12 4k = 12 Divide each side by '4'. k = 3 Simplifying k = 3
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