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Simplifying 3500 = 1400(1 + r * 2) Reorder the terms for easier multiplication: 3500 = 1400(1 + 2r) 3500 = (1 * 1400 + 2r * 1400) 3500 = (1400 + 2800r) Solving 3500 = 1400 + 2800r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2800r' to each side of the equation. 3500 + -2800r = 1400 + 2800r + -2800r Combine like terms: 2800r + -2800r = 0 3500 + -2800r = 1400 + 0 3500 + -2800r = 1400 Add '-3500' to each side of the equation. 3500 + -3500 + -2800r = 1400 + -3500 Combine like terms: 3500 + -3500 = 0 0 + -2800r = 1400 + -3500 -2800r = 1400 + -3500 Combine like terms: 1400 + -3500 = -2100 -2800r = -2100 Divide each side by '-2800'. r = 0.75 Simplifying r = 0.75
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