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Simplifying 5k + -1.9k = 3.22 + -0.3k + 4.2 + 5.5 Combine like terms: 5k + -1.9k = 3.1k 3.1k = 3.22 + -0.3k + 4.2 + 5.5 Reorder the terms: 3.1k = 3.22 + 4.2 + 5.5 + -0.3k Combine like terms: 3.22 + 4.2 = 7.42 3.1k = 7.42 + 5.5 + -0.3k Combine like terms: 7.42 + 5.5 = 12.92 3.1k = 12.92 + -0.3k Solving 3.1k = 12.92 + -0.3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.3k' to each side of the equation. 3.1k + 0.3k = 12.92 + -0.3k + 0.3k Combine like terms: 3.1k + 0.3k = 3.4k 3.4k = 12.92 + -0.3k + 0.3k Combine like terms: -0.3k + 0.3k = 0.0 3.4k = 12.92 + 0.0 3.4k = 12.92 Divide each side by '3.4'. k = 3.8 Simplifying k = 3.8
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