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Simplifying 9(k + 2) + -8k + 6 = -9 Reorder the terms: 9(2 + k) + -8k + 6 = -9 (2 * 9 + k * 9) + -8k + 6 = -9 (18 + 9k) + -8k + 6 = -9 Reorder the terms: 18 + 6 + 9k + -8k = -9 Combine like terms: 18 + 6 = 24 24 + 9k + -8k = -9 Combine like terms: 9k + -8k = 1k 24 + 1k = -9 Solving 24 + 1k = -9 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 + 1k = -9 + -24 Combine like terms: 24 + -24 = 0 0 + 1k = -9 + -24 1k = -9 + -24 Combine like terms: -9 + -24 = -33 1k = -33 Divide each side by '1'. k = -33 Simplifying k = -33
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