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Simplifying (10 + -1k) * 9 = -1k Reorder the terms for easier multiplication: 9(10 + -1k) = -1k (10 * 9 + -1k * 9) = -1k (90 + -9k) = -1k Solving 90 + -9k = -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 90 + -9k + k = -1k + k Combine like terms: -9k + k = -8k 90 + -8k = -1k + k Combine like terms: -1k + k = 0 90 + -8k = 0 Add '-90' to each side of the equation. 90 + -90 + -8k = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -8k = 0 + -90 -8k = 0 + -90 Combine like terms: 0 + -90 = -90 -8k = -90 Divide each side by '-8'. k = 11.25 Simplifying k = 11.25
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