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Simplifying 3(k + 2) + 6 = 21 Reorder the terms: 3(2 + k) + 6 = 21 (2 * 3 + k * 3) + 6 = 21 (6 + 3k) + 6 = 21 Reorder the terms: 6 + 6 + 3k = 21 Combine like terms: 6 + 6 = 12 12 + 3k = 21 Solving 12 + 3k = 21 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3k = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 3k = 21 + -12 3k = 21 + -12 Combine like terms: 21 + -12 = 9 3k = 9 Divide each side by '3'. k = 3 Simplifying k = 3
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