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Simplifying 6k + 0.3 + 3.2k + -4.7k + 1 = 0 Reorder the terms: 0.3 + 1 + 6k + 3.2k + -4.7k = 0 Combine like terms: 0.3 + 1 = 1.3 1.3 + 6k + 3.2k + -4.7k = 0 Combine like terms: 6k + 3.2k = 9.2k 1.3 + 9.2k + -4.7k = 0 Combine like terms: 9.2k + -4.7k = 4.5k 1.3 + 4.5k = 0 Solving 1.3 + 4.5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.3' to each side of the equation. 1.3 + -1.3 + 4.5k = 0 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + 4.5k = 0 + -1.3 4.5k = 0 + -1.3 Combine like terms: 0 + -1.3 = -1.3 4.5k = -1.3 Divide each side by '4.5'. k = -0.2888888889 Simplifying k = -0.2888888889
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