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Simplifying k + 2 = 12 + 6k Reorder the terms: 2 + k = 12 + 6k Solving 2 + k = 12 + 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. 2 + k + -6k = 12 + 6k + -6k Combine like terms: k + -6k = -5k 2 + -5k = 12 + 6k + -6k Combine like terms: 6k + -6k = 0 2 + -5k = 12 + 0 2 + -5k = 12 Add '-2' to each side of the equation. 2 + -2 + -5k = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -5k = 12 + -2 -5k = 12 + -2 Combine like terms: 12 + -2 = 10 -5k = 10 Divide each side by '-5'. k = -2 Simplifying k = -2
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