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Simplifying 1 + 8k + 9k = 10k + -20 Combine like terms: 8k + 9k = 17k 1 + 17k = 10k + -20 Reorder the terms: 1 + 17k = -20 + 10k Solving 1 + 17k = -20 + 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 + 17k + -10k = -20 + 10k + -10k Combine like terms: 17k + -10k = 7k 1 + 7k = -20 + 10k + -10k Combine like terms: 10k + -10k = 0 1 + 7k = -20 + 0 1 + 7k = -20 Add '-1' to each side of the equation. 1 + -1 + 7k = -20 + -1 Combine like terms: 1 + -1 = 0 0 + 7k = -20 + -1 7k = -20 + -1 Combine like terms: -20 + -1 = -21 7k = -21 Divide each side by '7'. k = -3 Simplifying k = -3
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