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Simplifying 8.5 + -2.7k = 3.9k + -18.89 Reorder the terms: 8.5 + -2.7k = -18.89 + 3.9k Solving 8.5 + -2.7k = -18.89 + 3.9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3.9k' to each side of the equation. 8.5 + -2.7k + -3.9k = -18.89 + 3.9k + -3.9k Combine like terms: -2.7k + -3.9k = -6.6k 8.5 + -6.6k = -18.89 + 3.9k + -3.9k Combine like terms: 3.9k + -3.9k = 0.0 8.5 + -6.6k = -18.89 + 0.0 8.5 + -6.6k = -18.89 Add '-8.5' to each side of the equation. 8.5 + -8.5 + -6.6k = -18.89 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + -6.6k = -18.89 + -8.5 -6.6k = -18.89 + -8.5 Combine like terms: -18.89 + -8.5 = -27.39 -6.6k = -27.39 Divide each side by '-6.6'. k = 4.15 Simplifying k = 4.15
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