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Simplifying -21 + 7k + 5k = 12 + k Combine like terms: 7k + 5k = 12k -21 + 12k = 12 + k Solving -21 + 12k = 12 + 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. -21 + 12k + -1k = 12 + k + -1k Combine like terms: 12k + -1k = 11k -21 + 11k = 12 + k + -1k Combine like terms: k + -1k = 0 -21 + 11k = 12 + 0 -21 + 11k = 12 Add '21' to each side of the equation. -21 + 21 + 11k = 12 + 21 Combine like terms: -21 + 21 = 0 0 + 11k = 12 + 21 11k = 12 + 21 Combine like terms: 12 + 21 = 33 11k = 33 Divide each side by '11'. k = 3 Simplifying k = 3
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