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Simplifying 500(50k + -2) = 50 Reorder the terms: 500(-2 + 50k) = 50 (-2 * 500 + 50k * 500) = 50 (-1000 + 25000k) = 50 Solving -1000 + 25000k = 50 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1000' to each side of the equation. -1000 + 1000 + 25000k = 50 + 1000 Combine like terms: -1000 + 1000 = 0 0 + 25000k = 50 + 1000 25000k = 50 + 1000 Combine like terms: 50 + 1000 = 1050 25000k = 1050 Divide each side by '25000'. k = 0.042 Simplifying k = 0.042
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