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Simplifying 18k + 37 + 22 = 11k + -55 Reorder the terms: 37 + 22 + 18k = 11k + -55 Combine like terms: 37 + 22 = 59 59 + 18k = 11k + -55 Reorder the terms: 59 + 18k = -55 + 11k Solving 59 + 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. 59 + 18k + -11k = -55 + 11k + -11k Combine like terms: 18k + -11k = 7k 59 + 7k = -55 + 11k + -11k Combine like terms: 11k + -11k = 0 59 + 7k = -55 + 0 59 + 7k = -55 Add '-59' to each side of the equation. 59 + -59 + 7k = -55 + -59 Combine like terms: 59 + -59 = 0 0 + 7k = -55 + -59 7k = -55 + -59 Combine like terms: -55 + -59 = -114 7k = -114 Divide each side by '7'. k = -16.28571429 Simplifying k = -16.28571429
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