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Simplifying 2k + -0.1 + 3.8k + -2.3k + 4 = 0 Reorder the terms: -0.1 + 4 + 2k + 3.8k + -2.3k = 0 Combine like terms: -0.1 + 4 = 3.9 3.9 + 2k + 3.8k + -2.3k = 0 Combine like terms: 2k + 3.8k = 5.8k 3.9 + 5.8k + -2.3k = 0 Combine like terms: 5.8k + -2.3k = 3.5k 3.9 + 3.5k = 0 Solving 3.9 + 3.5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3.9' to each side of the equation. 3.9 + -3.9 + 3.5k = 0 + -3.9 Combine like terms: 3.9 + -3.9 = 0.0 0.0 + 3.5k = 0 + -3.9 3.5k = 0 + -3.9 Combine like terms: 0 + -3.9 = -3.9 3.5k = -3.9 Divide each side by '3.5'. k = -1.114285714 Simplifying k = -1.114285714
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