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Simplifying 2.2k + 5 + 7.9k + 8 = 0 Reorder the terms: 5 + 8 + 2.2k + 7.9k = 0 Combine like terms: 5 + 8 = 13 13 + 2.2k + 7.9k = 0 Combine like terms: 2.2k + 7.9k = 10.1k 13 + 10.1k = 0 Solving 13 + 10.1k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 10.1k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 10.1k = 0 + -13 10.1k = 0 + -13 Combine like terms: 0 + -13 = -13 10.1k = -13 Divide each side by '10.1'. k = -1.287128713 Simplifying k = -1.287128713
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