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Simplifying 3(2k + 4) + -9k + 8 + 2 = 0 Reorder the terms: 3(4 + 2k) + -9k + 8 + 2 = 0 (4 * 3 + 2k * 3) + -9k + 8 + 2 = 0 (12 + 6k) + -9k + 8 + 2 = 0 Reorder the terms: 12 + 8 + 2 + 6k + -9k = 0 Combine like terms: 12 + 8 = 20 20 + 2 + 6k + -9k = 0 Combine like terms: 20 + 2 = 22 22 + 6k + -9k = 0 Combine like terms: 6k + -9k = -3k 22 + -3k = 0 Solving 22 + -3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -3k = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -3k = 0 + -22 -3k = 0 + -22 Combine like terms: 0 + -22 = -22 -3k = -22 Divide each side by '-3'. k = 7.333333333 Simplifying k = 7.333333333
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