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Simplifying 9(k + 8) + 3k = -6 Reorder the terms: 9(8 + k) + 3k = -6 (8 * 9 + k * 9) + 3k = -6 (72 + 9k) + 3k = -6 Combine like terms: 9k + 3k = 12k 72 + 12k = -6 Solving 72 + 12k = -6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 12k = -6 + -72 Combine like terms: 72 + -72 = 0 0 + 12k = -6 + -72 12k = -6 + -72 Combine like terms: -6 + -72 = -78 12k = -78 Divide each side by '12'. k = -6.5 Simplifying k = -6.5
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