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Simplifying 11k + 9 = 5k + 21 Reorder the terms: 9 + 11k = 5k + 21 Reorder the terms: 9 + 11k = 21 + 5k Solving 9 + 11k = 21 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 9 + 11k + -5k = 21 + 5k + -5k Combine like terms: 11k + -5k = 6k 9 + 6k = 21 + 5k + -5k Combine like terms: 5k + -5k = 0 9 + 6k = 21 + 0 9 + 6k = 21 Add '-9' to each side of the equation. 9 + -9 + 6k = 21 + -9 Combine like terms: 9 + -9 = 0 0 + 6k = 21 + -9 6k = 21 + -9 Combine like terms: 21 + -9 = 12 6k = 12 Divide each side by '6'. k = 2 Simplifying k = 2
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