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Simplifying 2(4k + 5) + -15k + 9 + 5 = 0 Reorder the terms: 2(5 + 4k) + -15k + 9 + 5 = 0 (5 * 2 + 4k * 2) + -15k + 9 + 5 = 0 (10 + 8k) + -15k + 9 + 5 = 0 Reorder the terms: 10 + 9 + 5 + 8k + -15k = 0 Combine like terms: 10 + 9 = 19 19 + 5 + 8k + -15k = 0 Combine like terms: 19 + 5 = 24 24 + 8k + -15k = 0 Combine like terms: 8k + -15k = -7k 24 + -7k = 0 Solving 24 + -7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -7k = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -7k = 0 + -24 -7k = 0 + -24 Combine like terms: 0 + -24 = -24 -7k = -24 Divide each side by '-7'. k = 3.428571429 Simplifying k = 3.428571429
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