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Simplifying 5(7k + 2) + 9 = 0 Reorder the terms: 5(2 + 7k) + 9 = 0 (2 * 5 + 7k * 5) + 9 = 0 (10 + 35k) + 9 = 0 Reorder the terms: 10 + 9 + 35k = 0 Combine like terms: 10 + 9 = 19 19 + 35k = 0 Solving 19 + 35k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 35k = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 35k = 0 + -19 35k = 0 + -19 Combine like terms: 0 + -19 = -19 35k = -19 Divide each side by '35'. k = -0.5428571429 Simplifying k = -0.5428571429
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