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Simplifying -2.4k + -19.699 + -6.74 = 15.7k + 9.77 Reorder the terms: -19.699 + -6.74 + -2.4k = 15.7k + 9.77 Combine like terms: -19.699 + -6.74 = -26.439 -26.439 + -2.4k = 15.7k + 9.77 Reorder the terms: -26.439 + -2.4k = 9.77 + 15.7k Solving -26.439 + -2.4k = 9.77 + 15.7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15.7k' to each side of the equation. -26.439 + -2.4k + -15.7k = 9.77 + 15.7k + -15.7k Combine like terms: -2.4k + -15.7k = -18.1k -26.439 + -18.1k = 9.77 + 15.7k + -15.7k Combine like terms: 15.7k + -15.7k = 0.0 -26.439 + -18.1k = 9.77 + 0.0 -26.439 + -18.1k = 9.77 Add '26.439' to each side of the equation. -26.439 + 26.439 + -18.1k = 9.77 + 26.439 Combine like terms: -26.439 + 26.439 = 0.000 0.000 + -18.1k = 9.77 + 26.439 -18.1k = 9.77 + 26.439 Combine like terms: 9.77 + 26.439 = 36.209 -18.1k = 36.209 Divide each side by '-18.1'. k = -2.000497238 Simplifying k = -2.000497238
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