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Simplifying 2(4k + 3) + -15k + 4 + 3 = 0 Reorder the terms: 2(3 + 4k) + -15k + 4 + 3 = 0 (3 * 2 + 4k * 2) + -15k + 4 + 3 = 0 (6 + 8k) + -15k + 4 + 3 = 0 Reorder the terms: 6 + 4 + 3 + 8k + -15k = 0 Combine like terms: 6 + 4 = 10 10 + 3 + 8k + -15k = 0 Combine like terms: 10 + 3 = 13 13 + 8k + -15k = 0 Combine like terms: 8k + -15k = -7k 13 + -7k = 0 Solving 13 + -7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -7k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -7k = 0 + -13 -7k = 0 + -13 Combine like terms: 0 + -13 = -13 -7k = -13 Divide each side by '-7'. k = 1.857142857 Simplifying k = 1.857142857
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