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Simplifying 5k2 + 2k + -3 + 5k + -8 + -5k2 = 0 Reorder the terms: -3 + -8 + 2k + 5k + 5k2 + -5k2 = 0 Combine like terms: -3 + -8 = -11 -11 + 2k + 5k + 5k2 + -5k2 = 0 Combine like terms: 2k + 5k = 7k -11 + 7k + 5k2 + -5k2 = 0 Combine like terms: 5k2 + -5k2 = 0 -11 + 7k + 0 = 0 -11 + 7k = 0 Solving -11 + 7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 7k = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 7k = 0 + 11 7k = 0 + 11 Combine like terms: 0 + 11 = 11 7k = 11 Divide each side by '7'. k = 1.571428571 Simplifying k = 1.571428571
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