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Simplifying 18k + 5 + -7k + 9 + k = 0 Reorder the terms: 5 + 9 + 18k + -7k + k = 0 Combine like terms: 5 + 9 = 14 14 + 18k + -7k + k = 0 Combine like terms: 18k + -7k = 11k 14 + 11k + k = 0 Combine like terms: 11k + k = 12k 14 + 12k = 0 Solving 14 + 12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 12k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 12k = 0 + -14 12k = 0 + -14 Combine like terms: 0 + -14 = -14 12k = -14 Divide each side by '12'. k = -1.166666667 Simplifying k = -1.166666667
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