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Simplifying -12 = 3 + -2k + 3k Combine like terms: -2k + 3k = 1k -12 = 3 + 1k Solving -12 = 3 + 1k 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 + -1k = 3 + 1k + -1k Combine like terms: 1k + -1k = 0 -12 + -1k = 3 + 0 -12 + -1k = 3 Add '12' to each side of the equation. -12 + 12 + -1k = 3 + 12 Combine like terms: -12 + 12 = 0 0 + -1k = 3 + 12 -1k = 3 + 12 Combine like terms: 3 + 12 = 15 -1k = 15 Divide each side by '-1'. k = -15 Simplifying k = -15
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