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Simplifying 10k + 90 = 9k + 9 Reorder the terms: 90 + 10k = 9k + 9 Reorder the terms: 90 + 10k = 9 + 9k Solving 90 + 10k = 9 + 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. 90 + 10k + -9k = 9 + 9k + -9k Combine like terms: 10k + -9k = 1k 90 + 1k = 9 + 9k + -9k Combine like terms: 9k + -9k = 0 90 + 1k = 9 + 0 90 + 1k = 9 Add '-90' to each side of the equation. 90 + -90 + 1k = 9 + -90 Combine like terms: 90 + -90 = 0 0 + 1k = 9 + -90 1k = 9 + -90 Combine like terms: 9 + -90 = -81 1k = -81 Divide each side by '1'. k = -81 Simplifying k = -81
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