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Simplifying 12 + -3k + 2 = -6 + -5k Reorder the terms: 12 + 2 + -3k = -6 + -5k Combine like terms: 12 + 2 = 14 14 + -3k = -6 + -5k Solving 14 + -3k = -6 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 14 + -3k + 5k = -6 + -5k + 5k Combine like terms: -3k + 5k = 2k 14 + 2k = -6 + -5k + 5k Combine like terms: -5k + 5k = 0 14 + 2k = -6 + 0 14 + 2k = -6 Add '-14' to each side of the equation. 14 + -14 + 2k = -6 + -14 Combine like terms: 14 + -14 = 0 0 + 2k = -6 + -14 2k = -6 + -14 Combine like terms: -6 + -14 = -20 2k = -20 Divide each side by '2'. k = -10 Simplifying k = -10
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