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Simplifying 30 + 7k = -3(4K + -6) Reorder the terms: 30 + 7k = -3(-6 + 4K) 30 + 7k = (-6 * -3 + 4K * -3) 30 + 7k = (18 + -12K) Solving 30 + 7k = 18 + -12K Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 7k = 18 + -30 + -12K Combine like terms: 30 + -30 = 0 0 + 7k = 18 + -30 + -12K 7k = 18 + -30 + -12K Combine like terms: 18 + -30 = -12 7k = -12 + -12K Divide each side by '7'. k = -1.714285714 + -1.714285714K Simplifying k = -1.714285714 + -1.714285714K
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