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