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Simplifying 1600 = (k)(5000)(8) Reorder the terms for easier multiplication: 1600 = 5000 * 8k Multiply 5000 * 8 1600 = 40000k Solving 1600 = 40000k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40000k' to each side of the equation. 1600 + -40000k = 40000k + -40000k Combine like terms: 40000k + -40000k = 0 1600 + -40000k = 0 Add '-1600' to each side of the equation. 1600 + -1600 + -40000k = 0 + -1600 Combine like terms: 1600 + -1600 = 0 0 + -40000k = 0 + -1600 -40000k = 0 + -1600 Combine like terms: 0 + -1600 = -1600 -40000k = -1600 Divide each side by '-40000'. k = 0.04 Simplifying k = 0.04
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