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Simplifying 12 + 7k + -2(3k + -9) = 0 Reorder the terms: 12 + 7k + -2(-9 + 3k) = 0 12 + 7k + (-9 * -2 + 3k * -2) = 0 12 + 7k + (18 + -6k) = 0 Reorder the terms: 12 + 18 + 7k + -6k = 0 Combine like terms: 12 + 18 = 30 30 + 7k + -6k = 0 Combine like terms: 7k + -6k = 1k 30 + 1k = 0 Solving 30 + 1k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 1k = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 1k = 0 + -30 1k = 0 + -30 Combine like terms: 0 + -30 = -30 1k = -30 Divide each side by '1'. k = -30 Simplifying k = -30
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