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Simplifying 2.2k + 5.4 + 7.9k + -8.2 = 0 Reorder the terms: 5.4 + -8.2 + 2.2k + 7.9k = 0 Combine like terms: 5.4 + -8.2 = -2.8 -2.8 + 2.2k + 7.9k = 0 Combine like terms: 2.2k + 7.9k = 10.1k -2.8 + 10.1k = 0 Solving -2.8 + 10.1k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2.8' to each side of the equation. -2.8 + 2.8 + 10.1k = 0 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + 10.1k = 0 + 2.8 10.1k = 0 + 2.8 Combine like terms: 0 + 2.8 = 2.8 10.1k = 2.8 Divide each side by '10.1'. k = 0.2772277228 Simplifying k = 0.2772277228
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