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Simplifying 9(11 + -1k) = 3k + -9 (11 * 9 + -1k * 9) = 3k + -9 (99 + -9k) = 3k + -9 Reorder the terms: 99 + -9k = -9 + 3k Solving 99 + -9k = -9 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 99 + -9k + -3k = -9 + 3k + -3k Combine like terms: -9k + -3k = -12k 99 + -12k = -9 + 3k + -3k Combine like terms: 3k + -3k = 0 99 + -12k = -9 + 0 99 + -12k = -9 Add '-99' to each side of the equation. 99 + -99 + -12k = -9 + -99 Combine like terms: 99 + -99 = 0 0 + -12k = -9 + -99 -12k = -9 + -99 Combine like terms: -9 + -99 = -108 -12k = -108 Divide each side by '-12'. k = 9 Simplifying k = 9
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