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Simplifying (2k + 3) + (5k + -1) = 0 Reorder the terms: (3 + 2k) + (5k + -1) = 0 Remove parenthesis around (3 + 2k) 3 + 2k + (5k + -1) = 0 Reorder the terms: 3 + 2k + (-1 + 5k) = 0 Remove parenthesis around (-1 + 5k) 3 + 2k + -1 + 5k = 0 Reorder the terms: 3 + -1 + 2k + 5k = 0 Combine like terms: 3 + -1 = 2 2 + 2k + 5k = 0 Combine like terms: 2k + 5k = 7k 2 + 7k = 0 Solving 2 + 7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7k = 0 + -2 7k = 0 + -2 Combine like terms: 0 + -2 = -2 7k = -2 Divide each side by '7'. k = -0.2857142857 Simplifying k = -0.2857142857
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