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Simplifying 3k + -8 + 3k = 7k + 6 + -2k Reorder the terms: -8 + 3k + 3k = 7k + 6 + -2k Combine like terms: 3k + 3k = 6k -8 + 6k = 7k + 6 + -2k Reorder the terms: -8 + 6k = 6 + 7k + -2k Combine like terms: 7k + -2k = 5k -8 + 6k = 6 + 5k Solving -8 + 6k = 6 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -8 + 6k + -5k = 6 + 5k + -5k Combine like terms: 6k + -5k = 1k -8 + 1k = 6 + 5k + -5k Combine like terms: 5k + -5k = 0 -8 + 1k = 6 + 0 -8 + 1k = 6 Add '8' to each side of the equation. -8 + 8 + 1k = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 1k = 6 + 8 1k = 6 + 8 Combine like terms: 6 + 8 = 14 1k = 14 Divide each side by '1'. k = 14 Simplifying k = 14
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