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Simplifying 8k + 1 + 3k + -5k + 4 + k = 0 Reorder the terms: 1 + 4 + 8k + 3k + -5k + k = 0 Combine like terms: 1 + 4 = 5 5 + 8k + 3k + -5k + k = 0 Combine like terms: 8k + 3k = 11k 5 + 11k + -5k + k = 0 Combine like terms: 11k + -5k = 6k 5 + 6k + k = 0 Combine like terms: 6k + k = 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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