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Simplifying 4050 = 2000[1 + r(5)] Reorder the terms for easier multiplication: 4050 = 2000[1 + 5r] 4050 = [1 * 2000 + 5r * 2000] 4050 = [2000 + 10000r] Solving 4050 = 2000 + 10000r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10000r' to each side of the equation. 4050 + -10000r = 2000 + 10000r + -10000r Combine like terms: 10000r + -10000r = 0 4050 + -10000r = 2000 + 0 4050 + -10000r = 2000 Add '-4050' to each side of the equation. 4050 + -4050 + -10000r = 2000 + -4050 Combine like terms: 4050 + -4050 = 0 0 + -10000r = 2000 + -4050 -10000r = 2000 + -4050 Combine like terms: 2000 + -4050 = -2050 -10000r = -2050 Divide each side by '-10000'. r = 0.205 Simplifying r = 0.205
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