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Simplifying 11 + 2k + 9k = 5 + 12k Combine like terms: 2k + 9k = 11k 11 + 11k = 5 + 12k Solving 11 + 11k = 5 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 11 + 11k + -12k = 5 + 12k + -12k Combine like terms: 11k + -12k = -1k 11 + -1k = 5 + 12k + -12k Combine like terms: 12k + -12k = 0 11 + -1k = 5 + 0 11 + -1k = 5 Add '-11' to each side of the equation. 11 + -11 + -1k = 5 + -11 Combine like terms: 11 + -11 = 0 0 + -1k = 5 + -11 -1k = 5 + -11 Combine like terms: 5 + -11 = -6 -1k = -6 Divide each side by '-1'. k = 6 Simplifying k = 6
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