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Simplifying 9k + 6 = 10k + 13 + -2k Reorder the terms: 6 + 9k = 10k + 13 + -2k Reorder the terms: 6 + 9k = 13 + 10k + -2k Combine like terms: 10k + -2k = 8k 6 + 9k = 13 + 8k Solving 6 + 9k = 13 + 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. 6 + 9k + -8k = 13 + 8k + -8k Combine like terms: 9k + -8k = 1k 6 + 1k = 13 + 8k + -8k Combine like terms: 8k + -8k = 0 6 + 1k = 13 + 0 6 + 1k = 13 Add '-6' to each side of the equation. 6 + -6 + 1k = 13 + -6 Combine like terms: 6 + -6 = 0 0 + 1k = 13 + -6 1k = 13 + -6 Combine like terms: 13 + -6 = 7 1k = 7 Divide each side by '1'. k = 7 Simplifying k = 7
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