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Simplifying 5k + 6k + 8 = 7k + 24 Reorder the terms: 8 + 5k + 6k = 7k + 24 Combine like terms: 5k + 6k = 11k 8 + 11k = 7k + 24 Reorder the terms: 8 + 11k = 24 + 7k Solving 8 + 11k = 24 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 8 + 11k + -7k = 24 + 7k + -7k Combine like terms: 11k + -7k = 4k 8 + 4k = 24 + 7k + -7k Combine like terms: 7k + -7k = 0 8 + 4k = 24 + 0 8 + 4k = 24 Add '-8' to each side of the equation. 8 + -8 + 4k = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 4k = 24 + -8 4k = 24 + -8 Combine like terms: 24 + -8 = 16 4k = 16 Divide each side by '4'. k = 4 Simplifying k = 4
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