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Simplifying 6k + 2 = 2k + 14 Reorder the terms: 2 + 6k = 2k + 14 Reorder the terms: 2 + 6k = 14 + 2k Solving 2 + 6k = 14 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 2 + 6k + -2k = 14 + 2k + -2k Combine like terms: 6k + -2k = 4k 2 + 4k = 14 + 2k + -2k Combine like terms: 2k + -2k = 0 2 + 4k = 14 + 0 2 + 4k = 14 Add '-2' to each side of the equation. 2 + -2 + 4k = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 4k = 14 + -2 4k = 14 + -2 Combine like terms: 14 + -2 = 12 4k = 12 Divide each side by '4'. k = 3 Simplifying k = 3
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