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Simplifying 4k + 6 + 3k + 4 = 0 Reorder the terms: 6 + 4 + 4k + 3k = 0 Combine like terms: 6 + 4 = 10 10 + 4k + 3k = 0 Combine like terms: 4k + 3k = 7k 10 + 7k = 0 Solving 10 + 7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 7k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 7k = 0 + -10 7k = 0 + -10 Combine like terms: 0 + -10 = -10 7k = -10 Divide each side by '7'. k = -1.428571429 Simplifying k = -1.428571429
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