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Simplifying 3272 = 3200(1 + 0.50r) 3272 = (1 * 3200 + 0.50r * 3200) 3272 = (3200 + 1600r) Solving 3272 = 3200 + 1600r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1600r' to each side of the equation. 3272 + -1600r = 3200 + 1600r + -1600r Combine like terms: 1600r + -1600r = 0 3272 + -1600r = 3200 + 0 3272 + -1600r = 3200 Add '-3272' to each side of the equation. 3272 + -3272 + -1600r = 3200 + -3272 Combine like terms: 3272 + -3272 = 0 0 + -1600r = 3200 + -3272 -1600r = 3200 + -3272 Combine like terms: 3200 + -3272 = -72 -1600r = -72 Divide each side by '-1600'. r = 0.045 Simplifying r = 0.045
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