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Simplifying 10 + -9k = -20k + 1 + 12k Reorder the terms: 10 + -9k = 1 + -20k + 12k Combine like terms: -20k + 12k = -8k 10 + -9k = 1 + -8k Solving 10 + -9k = 1 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 10 + -9k + 8k = 1 + -8k + 8k Combine like terms: -9k + 8k = -1k 10 + -1k = 1 + -8k + 8k Combine like terms: -8k + 8k = 0 10 + -1k = 1 + 0 10 + -1k = 1 Add '-10' to each side of the equation. 10 + -10 + -1k = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -1k = 1 + -10 -1k = 1 + -10 Combine like terms: 1 + -10 = -9 -1k = -9 Divide each side by '-1'. k = 9 Simplifying k = 9
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