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Simplifying 5227.50 = 5100(1 + 0.25r) 5227.50 = (1 * 5100 + 0.25r * 5100) 5227.50 = (5100 + 1275r) Solving 5227.50 = 5100 + 1275r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1275r' to each side of the equation. 5227.50 + -1275r = 5100 + 1275r + -1275r Combine like terms: 1275r + -1275r = 0 5227.50 + -1275r = 5100 + 0 5227.50 + -1275r = 5100 Add '-5227.50' to each side of the equation. 5227.50 + -5227.50 + -1275r = 5100 + -5227.50 Combine like terms: 5227.50 + -5227.50 = 0.00 0.00 + -1275r = 5100 + -5227.50 -1275r = 5100 + -5227.50 Combine like terms: 5100 + -5227.50 = -127.5 -1275r = -127.5 Divide each side by '-1275'. r = 0.1 Simplifying r = 0.1
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