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Simplifying 6k + -1.4 + 0.5k + 4.3k + -5 = 0 Reorder the terms: -1.4 + -5 + 6k + 0.5k + 4.3k = 0 Combine like terms: -1.4 + -5 = -6.4 -6.4 + 6k + 0.5k + 4.3k = 0 Combine like terms: 6k + 0.5k = 6.5k -6.4 + 6.5k + 4.3k = 0 Combine like terms: 6.5k + 4.3k = 10.8k -6.4 + 10.8k = 0 Solving -6.4 + 10.8k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6.4' to each side of the equation. -6.4 + 6.4 + 10.8k = 0 + 6.4 Combine like terms: -6.4 + 6.4 = 0.0 0.0 + 10.8k = 0 + 6.4 10.8k = 0 + 6.4 Combine like terms: 0 + 6.4 = 6.4 10.8k = 6.4 Divide each side by '10.8'. k = 0.5925925926 Simplifying k = 0.5925925926
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