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Simplifying 500 = (4000)(r)(5) Reorder the terms for easier multiplication: 500 = 4000 * 5r Multiply 4000 * 5 500 = 20000r Solving 500 = 20000r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20000r' to each side of the equation. 500 + -20000r = 20000r + -20000r Combine like terms: 20000r + -20000r = 0 500 + -20000r = 0 Add '-500' to each side of the equation. 500 + -500 + -20000r = 0 + -500 Combine like terms: 500 + -500 = 0 0 + -20000r = 0 + -500 -20000r = 0 + -500 Combine like terms: 0 + -500 = -500 -20000r = -500 Divide each side by '-20000'. r = 0.025 Simplifying r = 0.025
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