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Simplifying 10k + (7 + -1k) * 3 = 0 Reorder the terms for easier multiplication: 10k + 3(7 + -1k) = 0 10k + (7 * 3 + -1k * 3) = 0 10k + (21 + -3k) = 0 Reorder the terms: 21 + 10k + -3k = 0 Combine like terms: 10k + -3k = 7k 21 + 7k = 0 Solving 21 + 7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 7k = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 7k = 0 + -21 7k = 0 + -21 Combine like terms: 0 + -21 = -21 7k = -21 Divide each side by '7'. k = -3 Simplifying k = -3
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