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Simplifying 28 = 8k + 12 + -7k Reorder the terms: 28 = 12 + 8k + -7k Combine like terms: 8k + -7k = 1k 28 = 12 + 1k Solving 28 = 12 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 28 + -1k = 12 + 1k + -1k Combine like terms: 1k + -1k = 0 28 + -1k = 12 + 0 28 + -1k = 12 Add '-28' to each side of the equation. 28 + -28 + -1k = 12 + -28 Combine like terms: 28 + -28 = 0 0 + -1k = 12 + -28 -1k = 12 + -28 Combine like terms: 12 + -28 = -16 -1k = -16 Divide each side by '-1'. k = 16 Simplifying k = 16
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