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Simplifying 1 + 9k = 10k + -8 Reorder the terms: 1 + 9k = -8 + 10k Solving 1 + 9k = -8 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 1 + 9k + -10k = -8 + 10k + -10k Combine like terms: 9k + -10k = -1k 1 + -1k = -8 + 10k + -10k Combine like terms: 10k + -10k = 0 1 + -1k = -8 + 0 1 + -1k = -8 Add '-1' to each side of the equation. 1 + -1 + -1k = -8 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = -8 + -1 -1k = -8 + -1 Combine like terms: -8 + -1 = -9 -1k = -9 Divide each side by '-1'. k = 9 Simplifying k = 9
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