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Simplifying 2640 = 2000(1 + r(4)) Reorder the terms for easier multiplication: 2640 = 2000(1 + 4r) 2640 = (1 * 2000 + 4r * 2000) 2640 = (2000 + 8000r) Solving 2640 = 2000 + 8000r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8000r' to each side of the equation. 2640 + -8000r = 2000 + 8000r + -8000r Combine like terms: 8000r + -8000r = 0 2640 + -8000r = 2000 + 0 2640 + -8000r = 2000 Add '-2640' to each side of the equation. 2640 + -2640 + -8000r = 2000 + -2640 Combine like terms: 2640 + -2640 = 0 0 + -8000r = 2000 + -2640 -8000r = 2000 + -2640 Combine like terms: 2000 + -2640 = -640 -8000r = -640 Divide each side by '-8000'. r = 0.08 Simplifying r = 0.08
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