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Simplifying -6 + 9k = 7k + -9 + k Reorder the terms: -6 + 9k = -9 + 7k + k Combine like terms: 7k + k = 8k -6 + 9k = -9 + 8k Solving -6 + 9k = -9 + 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 = -9 + 8k + -8k Combine like terms: 9k + -8k = 1k -6 + 1k = -9 + 8k + -8k Combine like terms: 8k + -8k = 0 -6 + 1k = -9 + 0 -6 + 1k = -9 Add '6' to each side of the equation. -6 + 6 + 1k = -9 + 6 Combine like terms: -6 + 6 = 0 0 + 1k = -9 + 6 1k = -9 + 6 Combine like terms: -9 + 6 = -3 1k = -3 Divide each side by '1'. k = -3 Simplifying k = -3
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