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Simplifying 12k + 35 = 8k + -1k Reorder the terms: 35 + 12k = 8k + -1k Combine like terms: 8k + -1k = 7k 35 + 12k = 7k Solving 35 + 12k = 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 35 + 12k + -7k = 7k + -7k Combine like terms: 12k + -7k = 5k 35 + 5k = 7k + -7k Combine like terms: 7k + -7k = 0 35 + 5k = 0 Add '-35' to each side of the equation. 35 + -35 + 5k = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 5k = 0 + -35 5k = 0 + -35 Combine like terms: 0 + -35 = -35 5k = -35 Divide each side by '5'. k = -7 Simplifying k = -7
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