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Simplifying 6 + -3k = 3k + 12 Reorder the terms: 6 + -3k = 12 + 3k Solving 6 + -3k = 12 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 6 + -3k + -3k = 12 + 3k + -3k Combine like terms: -3k + -3k = -6k 6 + -6k = 12 + 3k + -3k Combine like terms: 3k + -3k = 0 6 + -6k = 12 + 0 6 + -6k = 12 Add '-6' to each side of the equation. 6 + -6 + -6k = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -6k = 12 + -6 -6k = 12 + -6 Combine like terms: 12 + -6 = 6 -6k = 6 Divide each side by '-6'. k = -1 Simplifying k = -1
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