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Simplifying -12 + 2k = k + -2k Combine like terms: k + -2k = -1k -12 + 2k = -1k Solving -12 + 2k = -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -12 + 2k + k = -1k + k Combine like terms: 2k + k = 3k -12 + 3k = -1k + k Combine like terms: -1k + k = 0 -12 + 3k = 0 Add '12' to each side of the equation. -12 + 12 + 3k = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3k = 0 + 12 3k = 0 + 12 Combine like terms: 0 + 12 = 12 3k = 12 Divide each side by '3'. k = 4 Simplifying k = 4
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