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Simplifying 5k + 11 + 7k + -6k + 5 = 0 Reorder the terms: 11 + 5 + 5k + 7k + -6k = 0 Combine like terms: 11 + 5 = 16 16 + 5k + 7k + -6k = 0 Combine like terms: 5k + 7k = 12k 16 + 12k + -6k = 0 Combine like terms: 12k + -6k = 6k 16 + 6k = 0 Solving 16 + 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 6k = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 6k = 0 + -16 6k = 0 + -16 Combine like terms: 0 + -16 = -16 6k = -16 Divide each side by '6'. k = -2.666666667 Simplifying k = -2.666666667
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