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Simplifying -12 = 3k + -2k + -3k Combine like terms: 3k + -2k = 1k -12 = 1k + -3k Combine like terms: 1k + -3k = -2k -12 = -2k Solving -12 = -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. -12 + 2k = -2k + 2k Combine like terms: -2k + 2k = 0 -12 + 2k = 0 Add '12' to each side of the equation. -12 + 12 + 2k = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2k = 0 + 12 2k = 0 + 12 Combine like terms: 0 + 12 = 12 2k = 12 Divide each side by '2'. k = 6 Simplifying k = 6
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