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Simplifying 6 + -2k + 6k = 3k + 8k Combine like terms: -2k + 6k = 4k 6 + 4k = 3k + 8k Combine like terms: 3k + 8k = 11k 6 + 4k = 11k Solving 6 + 4k = 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. 6 + 4k + -11k = 11k + -11k Combine like terms: 4k + -11k = -7k 6 + -7k = 11k + -11k Combine like terms: 11k + -11k = 0 6 + -7k = 0 Add '-6' to each side of the equation. 6 + -6 + -7k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7k = 0 + -6 -7k = 0 + -6 Combine like terms: 0 + -6 = -6 -7k = -6 Divide each side by '-7'. k = 0.8571428571 Simplifying k = 0.8571428571
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