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