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Simplifying 3k + -2k + 6k + 5 = 0 Reorder the terms: 5 + 3k + -2k + 6k = 0 Combine like terms: 3k + -2k = 1k 5 + 1k + 6k = 0 Combine like terms: 1k + 6k = 7k 5 + 7k = 0 Solving 5 + 7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7k = 0 + -5 7k = 0 + -5 Combine like terms: 0 + -5 = -5 7k = -5 Divide each side by '7'. k = -0.7142857143 Simplifying k = -0.7142857143
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