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Simplifying 18.38 + 4.82 + -7.7k = -19.3 + -11.1k Combine like terms: 18.38 + 4.82 = 23.2 23.2 + -7.7k = -19.3 + -11.1k Solving 23.2 + -7.7k = -19.3 + -11.1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11.1k' to each side of the equation. 23.2 + -7.7k + 11.1k = -19.3 + -11.1k + 11.1k Combine like terms: -7.7k + 11.1k = 3.4k 23.2 + 3.4k = -19.3 + -11.1k + 11.1k Combine like terms: -11.1k + 11.1k = 0.0 23.2 + 3.4k = -19.3 + 0.0 23.2 + 3.4k = -19.3 Add '-23.2' to each side of the equation. 23.2 + -23.2 + 3.4k = -19.3 + -23.2 Combine like terms: 23.2 + -23.2 = 0.0 0.0 + 3.4k = -19.3 + -23.2 3.4k = -19.3 + -23.2 Combine like terms: -19.3 + -23.2 = -42.5 3.4k = -42.5 Divide each side by '3.4'. k = -12.5 Simplifying k = -12.5
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