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Simplifying 6k + 2 = 2k + 5k + 3 Reorder the terms: 2 + 6k = 2k + 5k + 3 Reorder the terms: 2 + 6k = 3 + 2k + 5k Combine like terms: 2k + 5k = 7k 2 + 6k = 3 + 7k Solving 2 + 6k = 3 + 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. 2 + 6k + -7k = 3 + 7k + -7k Combine like terms: 6k + -7k = -1k 2 + -1k = 3 + 7k + -7k Combine like terms: 7k + -7k = 0 2 + -1k = 3 + 0 2 + -1k = 3 Add '-2' to each side of the equation. 2 + -2 + -1k = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -1k = 3 + -2 -1k = 3 + -2 Combine like terms: 3 + -2 = 1 -1k = 1 Divide each side by '-1'. k = -1 Simplifying k = -1
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