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Simplifying 4000 = 5000(1 + 5r) 4000 = (1 * 5000 + 5r * 5000) 4000 = (5000 + 25000r) Solving 4000 = 5000 + 25000r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-25000r' to each side of the equation. 4000 + -25000r = 5000 + 25000r + -25000r Combine like terms: 25000r + -25000r = 0 4000 + -25000r = 5000 + 0 4000 + -25000r = 5000 Add '-4000' to each side of the equation. 4000 + -4000 + -25000r = 5000 + -4000 Combine like terms: 4000 + -4000 = 0 0 + -25000r = 5000 + -4000 -25000r = 5000 + -4000 Combine like terms: 5000 + -4000 = 1000 -25000r = 1000 Divide each side by '-25000'. r = -0.04 Simplifying r = -0.04
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