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Simplifying 5k + -3.5 + -4.3k + -3.3k + 4 = 0 Reorder the terms: -3.5 + 4 + 5k + -4.3k + -3.3k = 0 Combine like terms: -3.5 + 4 = 0.5 0.5 + 5k + -4.3k + -3.3k = 0 Combine like terms: 5k + -4.3k = 0.7k 0.5 + 0.7k + -3.3k = 0 Combine like terms: 0.7k + -3.3k = -2.6k 0.5 + -2.6k = 0 Solving 0.5 + -2.6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + -2.6k = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -2.6k = 0 + -0.5 -2.6k = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -2.6k = -0.5 Divide each side by '-2.6'. k = 0.1923076923 Simplifying k = 0.1923076923
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