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Simplifying 2(5k + 3) + -17k + 8 + 4 = 0 Reorder the terms: 2(3 + 5k) + -17k + 8 + 4 = 0 (3 * 2 + 5k * 2) + -17k + 8 + 4 = 0 (6 + 10k) + -17k + 8 + 4 = 0 Reorder the terms: 6 + 8 + 4 + 10k + -17k = 0 Combine like terms: 6 + 8 = 14 14 + 4 + 10k + -17k = 0 Combine like terms: 14 + 4 = 18 18 + 10k + -17k = 0 Combine like terms: 10k + -17k = -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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