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Simplifying 2(k + 6) + 3k + 9 = 0 Reorder the terms: 2(6 + k) + 3k + 9 = 0 (6 * 2 + k * 2) + 3k + 9 = 0 (12 + 2k) + 3k + 9 = 0 Reorder the terms: 12 + 9 + 2k + 3k = 0 Combine like terms: 12 + 9 = 21 21 + 2k + 3k = 0 Combine like terms: 2k + 3k = 5k 21 + 5k = 0 Solving 21 + 5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 5k = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 5k = 0 + -21 5k = 0 + -21 Combine like terms: 0 + -21 = -21 5k = -21 Divide each side by '5'. k = -4.2 Simplifying k = -4.2
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