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Simplifying 12 + 5k = 3k + -3 + 5 Reorder the terms: 12 + 5k = -3 + 5 + 3k Combine like terms: -3 + 5 = 2 12 + 5k = 2 + 3k Solving 12 + 5k = 2 + 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 + 5k + -3k = 2 + 3k + -3k Combine like terms: 5k + -3k = 2k 12 + 2k = 2 + 3k + -3k Combine like terms: 3k + -3k = 0 12 + 2k = 2 + 0 12 + 2k = 2 Add '-12' to each side of the equation. 12 + -12 + 2k = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 2k = 2 + -12 2k = 2 + -12 Combine like terms: 2 + -12 = -10 2k = -10 Divide each side by '2'. k = -5 Simplifying k = -5
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