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Simplifying 41 + 8k = -5k + 12k Combine like terms: -5k + 12k = 7k 41 + 8k = 7k Solving 41 + 8k = 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. 41 + 8k + -7k = 7k + -7k Combine like terms: 8k + -7k = 1k 41 + 1k = 7k + -7k Combine like terms: 7k + -7k = 0 41 + 1k = 0 Add '-41' to each side of the equation. 41 + -41 + 1k = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 1k = 0 + -41 1k = 0 + -41 Combine like terms: 0 + -41 = -41 1k = -41 Divide each side by '1'. k = -41 Simplifying k = -41
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