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Simplifying 2(5k + 7) + -3(k + -4) = 0 Reorder the terms: 2(7 + 5k) + -3(k + -4) = 0 (7 * 2 + 5k * 2) + -3(k + -4) = 0 (14 + 10k) + -3(k + -4) = 0 Reorder the terms: 14 + 10k + -3(-4 + k) = 0 14 + 10k + (-4 * -3 + k * -3) = 0 14 + 10k + (12 + -3k) = 0 Reorder the terms: 14 + 12 + 10k + -3k = 0 Combine like terms: 14 + 12 = 26 26 + 10k + -3k = 0 Combine like terms: 10k + -3k = 7k 26 + 7k = 0 Solving 26 + 7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 7k = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 7k = 0 + -26 7k = 0 + -26 Combine like terms: 0 + -26 = -26 7k = -26 Divide each side by '7'. k = -3.714285714 Simplifying k = -3.714285714
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