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Simplifying 4k + 12 = 3k + -6 Reorder the terms: 12 + 4k = 3k + -6 Reorder the terms: 12 + 4k = -6 + 3k Solving 12 + 4k = -6 + 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 + 4k + -3k = -6 + 3k + -3k Combine like terms: 4k + -3k = 1k 12 + 1k = -6 + 3k + -3k Combine like terms: 3k + -3k = 0 12 + 1k = -6 + 0 12 + 1k = -6 Add '-12' to each side of the equation. 12 + -12 + 1k = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 1k = -6 + -12 1k = -6 + -12 Combine like terms: -6 + -12 = -18 1k = -18 Divide each side by '1'. k = -18 Simplifying k = -18
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