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Simplifying 3k + 4 = k + -12 Reorder the terms: 4 + 3k = k + -12 Reorder the terms: 4 + 3k = -12 + k Solving 4 + 3k = -12 + k 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. 4 + 3k + -1k = -12 + k + -1k Combine like terms: 3k + -1k = 2k 4 + 2k = -12 + k + -1k Combine like terms: k + -1k = 0 4 + 2k = -12 + 0 4 + 2k = -12 Add '-4' to each side of the equation. 4 + -4 + 2k = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 2k = -12 + -4 2k = -12 + -4 Combine like terms: -12 + -4 = -16 2k = -16 Divide each side by '2'. k = -8 Simplifying k = -8
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