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Simplifying 5.9k + 3.8 = 9.9k + -5.3 Reorder the terms: 3.8 + 5.9k = 9.9k + -5.3 Reorder the terms: 3.8 + 5.9k = -5.3 + 9.9k Solving 3.8 + 5.9k = -5.3 + 9.9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9.9k' to each side of the equation. 3.8 + 5.9k + -9.9k = -5.3 + 9.9k + -9.9k Combine like terms: 5.9k + -9.9k = -4k 3.8 + -4k = -5.3 + 9.9k + -9.9k Combine like terms: 9.9k + -9.9k = 0.0 3.8 + -4k = -5.3 + 0.0 3.8 + -4k = -5.3 Add '-3.8' to each side of the equation. 3.8 + -3.8 + -4k = -5.3 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + -4k = -5.3 + -3.8 -4k = -5.3 + -3.8 Combine like terms: -5.3 + -3.8 = -9.1 -4k = -9.1 Divide each side by '-4'. k = 2.275 Simplifying k = 2.275
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