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Simplifying -12 + 3k = k + -2 Reorder the terms: -12 + 3k = -2 + k Solving -12 + 3k = -2 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -12 + 3k + -1k = -2 + k + -1k Combine like terms: 3k + -1k = 2k -12 + 2k = -2 + k + -1k Combine like terms: k + -1k = 0 -12 + 2k = -2 + 0 -12 + 2k = -2 Add '12' to each side of the equation. -12 + 12 + 2k = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 2k = -2 + 12 2k = -2 + 12 Combine like terms: -2 + 12 = 10 2k = 10 Divide each side by '2'. k = 5 Simplifying k = 5
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