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Simplifying 540 = 500 + (500)(r)(2) Reorder the terms for easier multiplication: 540 = 500 + 500 * 2r Multiply 500 * 2 540 = 500 + 1000r Solving 540 = 500 + 1000r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1000r' to each side of the equation. 540 + -1000r = 500 + 1000r + -1000r Combine like terms: 1000r + -1000r = 0 540 + -1000r = 500 + 0 540 + -1000r = 500 Add '-540' to each side of the equation. 540 + -540 + -1000r = 500 + -540 Combine like terms: 540 + -540 = 0 0 + -1000r = 500 + -540 -1000r = 500 + -540 Combine like terms: 500 + -540 = -40 -1000r = -40 Divide each side by '-1000'. r = 0.04 Simplifying r = 0.04
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