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Simplifying 3500 = 1600(1 + 0.05d) 3500 = (1 * 1600 + 0.05d * 1600) 3500 = (1600 + 80d) Solving 3500 = 1600 + 80d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-80d' to each side of the equation. 3500 + -80d = 1600 + 80d + -80d Combine like terms: 80d + -80d = 0 3500 + -80d = 1600 + 0 3500 + -80d = 1600 Add '-3500' to each side of the equation. 3500 + -3500 + -80d = 1600 + -3500 Combine like terms: 3500 + -3500 = 0 0 + -80d = 1600 + -3500 -80d = 1600 + -3500 Combine like terms: 1600 + -3500 = -1900 -80d = -1900 Divide each side by '-80'. d = 23.75 Simplifying d = 23.75
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