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Simplifying 9000 = 3000(1 + 0.025t) 9000 = (1 * 3000 + 0.025t * 3000) 9000 = (3000 + 75t) Solving 9000 = 3000 + 75t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-75t' to each side of the equation. 9000 + -75t = 3000 + 75t + -75t Combine like terms: 75t + -75t = 0 9000 + -75t = 3000 + 0 9000 + -75t = 3000 Add '-9000' to each side of the equation. 9000 + -9000 + -75t = 3000 + -9000 Combine like terms: 9000 + -9000 = 0 0 + -75t = 3000 + -9000 -75t = 3000 + -9000 Combine like terms: 3000 + -9000 = -6000 -75t = -6000 Divide each side by '-75'. t = 80 Simplifying t = 80
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