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Simplifying 6k + 6 + -9 + 7k = 12k Reorder the terms: 6 + -9 + 6k + 7k = 12k Combine like terms: 6 + -9 = -3 -3 + 6k + 7k = 12k Combine like terms: 6k + 7k = 13k -3 + 13k = 12k Solving -3 + 13k = 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. -3 + 13k + -12k = 12k + -12k Combine like terms: 13k + -12k = 1k -3 + 1k = 12k + -12k Combine like terms: 12k + -12k = 0 -3 + 1k = 0 Add '3' to each side of the equation. -3 + 3 + 1k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 1k = 0 + 3 1k = 0 + 3 Combine like terms: 0 + 3 = 3 1k = 3 Divide each side by '1'. k = 3 Simplifying k = 3
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