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Simplifying 28 + 7k = 8k + 32 Reorder the terms: 28 + 7k = 32 + 8k Solving 28 + 7k = 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. 28 + 7k + -8k = 32 + 8k + -8k Combine like terms: 7k + -8k = -1k 28 + -1k = 32 + 8k + -8k Combine like terms: 8k + -8k = 0 28 + -1k = 32 + 0 28 + -1k = 32 Add '-28' to each side of the equation. 28 + -28 + -1k = 32 + -28 Combine like terms: 28 + -28 = 0 0 + -1k = 32 + -28 -1k = 32 + -28 Combine like terms: 32 + -28 = 4 -1k = 4 Divide each side by '-1'. k = -4 Simplifying k = -4
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