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Simplifying 3(k + 6) + 12 = 9 Reorder the terms: 3(6 + k) + 12 = 9 (6 * 3 + k * 3) + 12 = 9 (18 + 3k) + 12 = 9 Reorder the terms: 18 + 12 + 3k = 9 Combine like terms: 18 + 12 = 30 30 + 3k = 9 Solving 30 + 3k = 9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 3k = 9 + -30 Combine like terms: 30 + -30 = 0 0 + 3k = 9 + -30 3k = 9 + -30 Combine like terms: 9 + -30 = -21 3k = -21 Divide each side by '3'. k = -7 Simplifying k = -7
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