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Simplifying 10k + 1 = 3k Reorder the terms: 1 + 10k = 3k Solving 1 + 10k = 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 1 + 10k + -3k = 3k + -3k Combine like terms: 10k + -3k = 7k 1 + 7k = 3k + -3k Combine like terms: 3k + -3k = 0 1 + 7k = 0 Add '-1' to each side of the equation. 1 + -1 + 7k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7k = 0 + -1 7k = 0 + -1 Combine like terms: 0 + -1 = -1 7k = -1 Divide each side by '7'. k = -0.1428571429 Simplifying k = -0.1428571429
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