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Simplifying 3(k + 12) = 8 + -4k Reorder the terms: 3(12 + k) = 8 + -4k (12 * 3 + k * 3) = 8 + -4k (36 + 3k) = 8 + -4k Solving 36 + 3k = 8 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 36 + 3k + 4k = 8 + -4k + 4k Combine like terms: 3k + 4k = 7k 36 + 7k = 8 + -4k + 4k Combine like terms: -4k + 4k = 0 36 + 7k = 8 + 0 36 + 7k = 8 Add '-36' to each side of the equation. 36 + -36 + 7k = 8 + -36 Combine like terms: 36 + -36 = 0 0 + 7k = 8 + -36 7k = 8 + -36 Combine like terms: 8 + -36 = -28 7k = -28 Divide each side by '7'. k = -4 Simplifying k = -4
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