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Simplifying 8k + 5 + -2k + k = -9 Reorder the terms: 5 + 8k + -2k + k = -9 Combine like terms: 8k + -2k = 6k 5 + 6k + k = -9 Combine like terms: 6k + k = 7k 5 + 7k = -9 Solving 5 + 7k = -9 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 = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 7k = -9 + -5 7k = -9 + -5 Combine like terms: -9 + -5 = -14 7k = -14 Divide each side by '7'. k = -2 Simplifying k = -2
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