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Simplifying -1k + 10 = 9k + 18 Reorder the terms: 10 + -1k = 9k + 18 Reorder the terms: 10 + -1k = 18 + 9k Solving 10 + -1k = 18 + 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. 10 + -1k + -9k = 18 + 9k + -9k Combine like terms: -1k + -9k = -10k 10 + -10k = 18 + 9k + -9k Combine like terms: 9k + -9k = 0 10 + -10k = 18 + 0 10 + -10k = 18 Add '-10' to each side of the equation. 10 + -10 + -10k = 18 + -10 Combine like terms: 10 + -10 = 0 0 + -10k = 18 + -10 -10k = 18 + -10 Combine like terms: 18 + -10 = 8 -10k = 8 Divide each side by '-10'. k = -0.8 Simplifying k = -0.8
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