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Simplifying 12 + (2k + 9) = 0 Reorder the terms: 12 + (9 + 2k) = 0 Remove parenthesis around (9 + 2k) 12 + 9 + 2k = 0 Combine like terms: 12 + 9 = 21 21 + 2k = 0 Solving 21 + 2k = 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 + 2k = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 2k = 0 + -21 2k = 0 + -21 Combine like terms: 0 + -21 = -21 2k = -21 Divide each side by '2'. k = -10.5 Simplifying k = -10.5
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