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Simplifying 18k + 27 + 22 = 11k + -55 Reorder the terms: 27 + 22 + 18k = 11k + -55 Combine like terms: 27 + 22 = 49 49 + 18k = 11k + -55 Reorder the terms: 49 + 18k = -55 + 11k Solving 49 + 18k = -55 + 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. 49 + 18k + -11k = -55 + 11k + -11k Combine like terms: 18k + -11k = 7k 49 + 7k = -55 + 11k + -11k Combine like terms: 11k + -11k = 0 49 + 7k = -55 + 0 49 + 7k = -55 Add '-49' to each side of the equation. 49 + -49 + 7k = -55 + -49 Combine like terms: 49 + -49 = 0 0 + 7k = -55 + -49 7k = -55 + -49 Combine like terms: -55 + -49 = -104 7k = -104 Divide each side by '7'. k = -14.85714286 Simplifying k = -14.85714286
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