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