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Simplifying 12(3 + k) = 5(2k + 8) (3 * 12 + k * 12) = 5(2k + 8) (36 + 12k) = 5(2k + 8) Reorder the terms: 36 + 12k = 5(8 + 2k) 36 + 12k = (8 * 5 + 2k * 5) 36 + 12k = (40 + 10k) Solving 36 + 12k = 40 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 36 + 12k + -10k = 40 + 10k + -10k Combine like terms: 12k + -10k = 2k 36 + 2k = 40 + 10k + -10k Combine like terms: 10k + -10k = 0 36 + 2k = 40 + 0 36 + 2k = 40 Add '-36' to each side of the equation. 36 + -36 + 2k = 40 + -36 Combine like terms: 36 + -36 = 0 0 + 2k = 40 + -36 2k = 40 + -36 Combine like terms: 40 + -36 = 4 2k = 4 Divide each side by '2'. k = 2 Simplifying k = 2
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