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Simplifying 8(10 + -1k) = k (10 * 8 + -1k * 8) = k (80 + -8k) = k Solving 80 + -8k = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 80 + -8k + -1k = k + -1k Combine like terms: -8k + -1k = -9k 80 + -9k = k + -1k Combine like terms: k + -1k = 0 80 + -9k = 0 Add '-80' to each side of the equation. 80 + -80 + -9k = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -9k = 0 + -80 -9k = 0 + -80 Combine like terms: 0 + -80 = -80 -9k = -80 Divide each side by '-9'. k = 8.888888889 Simplifying k = 8.888888889
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