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Simplifying 3(k + 4) = -2k + k Reorder the terms: 3(4 + k) = -2k + k (4 * 3 + k * 3) = -2k + k (12 + 3k) = -2k + k Combine like terms: -2k + k = -1k 12 + 3k = -1k Solving 12 + 3k = -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 12 + 3k + k = -1k + k Combine like terms: 3k + k = 4k 12 + 4k = -1k + k Combine like terms: -1k + k = 0 12 + 4k = 0 Add '-12' to each side of the equation. 12 + -12 + 4k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4k = 0 + -12 4k = 0 + -12 Combine like terms: 0 + -12 = -12 4k = -12 Divide each side by '4'. k = -3 Simplifying k = -3
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