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Simplifying 5.9k + -1.6 + -3.8k + 4 + 2.4k = 0 Reorder the terms: -1.6 + 4 + 5.9k + -3.8k + 2.4k = 0 Combine like terms: -1.6 + 4 = 2.4 2.4 + 5.9k + -3.8k + 2.4k = 0 Combine like terms: 5.9k + -3.8k = 2.1k 2.4 + 2.1k + 2.4k = 0 Combine like terms: 2.1k + 2.4k = 4.5k 2.4 + 4.5k = 0 Solving 2.4 + 4.5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.4' to each side of the equation. 2.4 + -2.4 + 4.5k = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 4.5k = 0 + -2.4 4.5k = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 4.5k = -2.4 Divide each side by '4.5'. k = -0.5333333333 Simplifying k = -0.5333333333
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