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Simplifying 3(2 + k) + 4(3 + k) = 0 (2 * 3 + k * 3) + 4(3 + k) = 0 (6 + 3k) + 4(3 + k) = 0 6 + 3k + (3 * 4 + k * 4) = 0 6 + 3k + (12 + 4k) = 0 Reorder the terms: 6 + 12 + 3k + 4k = 0 Combine like terms: 6 + 12 = 18 18 + 3k + 4k = 0 Combine like terms: 3k + 4k = 7k 18 + 7k = 0 Solving 18 + 7k = 0 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 + 7k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 7k = 0 + -18 7k = 0 + -18 Combine like terms: 0 + -18 = -18 7k = -18 Divide each side by '7'. k = -2.571428571 Simplifying k = -2.571428571
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