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Simplifying 15.55 + 19.82 + -2.7k = -15.23 + -7.3k Combine like terms: 15.55 + 19.82 = 35.37 35.37 + -2.7k = -15.23 + -7.3k Solving 35.37 + -2.7k = -15.23 + -7.3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7.3k' to each side of the equation. 35.37 + -2.7k + 7.3k = -15.23 + -7.3k + 7.3k Combine like terms: -2.7k + 7.3k = 4.6k 35.37 + 4.6k = -15.23 + -7.3k + 7.3k Combine like terms: -7.3k + 7.3k = 0.0 35.37 + 4.6k = -15.23 + 0.0 35.37 + 4.6k = -15.23 Add '-35.37' to each side of the equation. 35.37 + -35.37 + 4.6k = -15.23 + -35.37 Combine like terms: 35.37 + -35.37 = 0.00 0.00 + 4.6k = -15.23 + -35.37 4.6k = -15.23 + -35.37 Combine like terms: -15.23 + -35.37 = -50.6 4.6k = -50.6 Divide each side by '4.6'. k = -11 Simplifying k = -11
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