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Simplifying 3(k + 8) + -1k = 21 Reorder the terms: 3(8 + k) + -1k = 21 (8 * 3 + k * 3) + -1k = 21 (24 + 3k) + -1k = 21 Combine like terms: 3k + -1k = 2k 24 + 2k = 21 Solving 24 + 2k = 21 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 2k = 21 + -24 Combine like terms: 24 + -24 = 0 0 + 2k = 21 + -24 2k = 21 + -24 Combine like terms: 21 + -24 = -3 2k = -3 Divide each side by '2'. k = -1.5 Simplifying k = -1.5
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