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Simplifying (3k + -1k) + (7k + 12) = 0 Combine like terms: 3k + -1k = 2k (2k) + (7k + 12) = 0 (2k) + (7k + 12) = 0 Reorder the terms: (2k) + (12 + 7k) = 0 Remove parenthesis around (12 + 7k) (2k) + 12 + 7k = 0 Reorder the terms: 12 + (2k) + 7k = 0 Combine like terms: (2k) + 7k = 9k 12 + 9k = 0 Solving 12 + 9k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 9k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 9k = 0 + -12 9k = 0 + -12 Combine like terms: 0 + -12 = -12 9k = -12 Divide each side by '9'. k = -1.333333333 Simplifying k = -1.333333333
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