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Simplifying -2.3k + -2.24 + 16.4k = 14.6k + 6.46 Reorder the terms: -2.24 + -2.3k + 16.4k = 14.6k + 6.46 Combine like terms: -2.3k + 16.4k = 14.1k -2.24 + 14.1k = 14.6k + 6.46 Reorder the terms: -2.24 + 14.1k = 6.46 + 14.6k Solving -2.24 + 14.1k = 6.46 + 14.6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14.6k' to each side of the equation. -2.24 + 14.1k + -14.6k = 6.46 + 14.6k + -14.6k Combine like terms: 14.1k + -14.6k = -0.5k -2.24 + -0.5k = 6.46 + 14.6k + -14.6k Combine like terms: 14.6k + -14.6k = 0.0 -2.24 + -0.5k = 6.46 + 0.0 -2.24 + -0.5k = 6.46 Add '2.24' to each side of the equation. -2.24 + 2.24 + -0.5k = 6.46 + 2.24 Combine like terms: -2.24 + 2.24 = 0.00 0.00 + -0.5k = 6.46 + 2.24 -0.5k = 6.46 + 2.24 Combine like terms: 6.46 + 2.24 = 8.7 -0.5k = 8.7 Divide each side by '-0.5'. k = -17.4 Simplifying k = -17.4
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