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Simplifying -12 = 3 + -2k + -1k Combine like terms: -2k + -1k = -3k -12 = 3 + -3k Solving -12 = 3 + -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. -12 + 3k = 3 + -3k + 3k Combine like terms: -3k + 3k = 0 -12 + 3k = 3 + 0 -12 + 3k = 3 Add '12' to each side of the equation. -12 + 12 + 3k = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 3k = 3 + 12 3k = 3 + 12 Combine like terms: 3 + 12 = 15 3k = 15 Divide each side by '3'. k = 5 Simplifying k = 5
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