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Simplifying -5k + 10.9k + -19.11 = 8.4k + 9.14 Reorder the terms: -19.11 + -5k + 10.9k = 8.4k + 9.14 Combine like terms: -5k + 10.9k = 5.9k -19.11 + 5.9k = 8.4k + 9.14 Reorder the terms: -19.11 + 5.9k = 9.14 + 8.4k Solving -19.11 + 5.9k = 9.14 + 8.4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8.4k' to each side of the equation. -19.11 + 5.9k + -8.4k = 9.14 + 8.4k + -8.4k Combine like terms: 5.9k + -8.4k = -2.5k -19.11 + -2.5k = 9.14 + 8.4k + -8.4k Combine like terms: 8.4k + -8.4k = 0.0 -19.11 + -2.5k = 9.14 + 0.0 -19.11 + -2.5k = 9.14 Add '19.11' to each side of the equation. -19.11 + 19.11 + -2.5k = 9.14 + 19.11 Combine like terms: -19.11 + 19.11 = 0.00 0.00 + -2.5k = 9.14 + 19.11 -2.5k = 9.14 + 19.11 Combine like terms: 9.14 + 19.11 = 28.25 -2.5k = 28.25 Divide each side by '-2.5'. k = -11.3 Simplifying k = -11.3
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