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Simplifying 10k = 9(k + 4) Reorder the terms: 10k = 9(4 + k) 10k = (4 * 9 + k * 9) 10k = (36 + 9k) Solving 10k = 36 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 10k + -9k = 36 + 9k + -9k Combine like terms: 10k + -9k = 1k 1k = 36 + 9k + -9k Combine like terms: 9k + -9k = 0 1k = 36 + 0 1k = 36 Divide each side by '1'. k = 36 Simplifying k = 36
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