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Simplifying 7k + 4k + 12 = 5k + 5 + 7k Reorder the terms: 12 + 7k + 4k = 5k + 5 + 7k Combine like terms: 7k + 4k = 11k 12 + 11k = 5k + 5 + 7k Reorder the terms: 12 + 11k = 5 + 5k + 7k Combine like terms: 5k + 7k = 12k 12 + 11k = 5 + 12k Solving 12 + 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. 12 + 11k + -12k = 5 + 12k + -12k Combine like terms: 11k + -12k = -1k 12 + -1k = 5 + 12k + -12k Combine like terms: 12k + -12k = 0 12 + -1k = 5 + 0 12 + -1k = 5 Add '-12' to each side of the equation. 12 + -12 + -1k = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -1k = 5 + -12 -1k = 5 + -12 Combine like terms: 5 + -12 = -7 -1k = -7 Divide each side by '-1'. k = 7 Simplifying k = 7
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