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Simplifying [9 + 2k] + 9 = 12 Remove brackets around [9 + 2k] 9 + 2k + 9 = 12 Reorder the terms: 9 + 9 + 2k = 12 Combine like terms: 9 + 9 = 18 18 + 2k = 12 Solving 18 + 2k = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 2k = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 2k = 12 + -18 2k = 12 + -18 Combine like terms: 12 + -18 = -6 2k = -6 Divide each side by '2'. k = -3 Simplifying k = -3
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