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Simplifying 6 + 3k + 4k = 8k + -1 + 3 Combine like terms: 3k + 4k = 7k 6 + 7k = 8k + -1 + 3 Reorder the terms: 6 + 7k = -1 + 3 + 8k Combine like terms: -1 + 3 = 2 6 + 7k = 2 + 8k Solving 6 + 7k = 2 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 6 + 7k + -8k = 2 + 8k + -8k Combine like terms: 7k + -8k = -1k 6 + -1k = 2 + 8k + -8k Combine like terms: 8k + -8k = 0 6 + -1k = 2 + 0 6 + -1k = 2 Add '-6' to each side of the equation. 6 + -6 + -1k = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -1k = 2 + -6 -1k = 2 + -6 Combine like terms: 2 + -6 = -4 -1k = -4 Divide each side by '-1'. k = 4 Simplifying k = 4
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