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Simplifying 0.08(2t + 2.50) + 3 = 13.80 Reorder the terms: 0.08(2.50 + 2t) + 3 = 13.80 (2.50 * 0.08 + 2t * 0.08) + 3 = 13.80 (0.2 + 0.16t) + 3 = 13.80 Reorder the terms: 0.2 + 3 + 0.16t = 13.80 Combine like terms: 0.2 + 3 = 3.2 3.2 + 0.16t = 13.80 Solving 3.2 + 0.16t = 13.80 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.2' to each side of the equation. 3.2 + -3.2 + 0.16t = 13.80 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 0.16t = 13.80 + -3.2 0.16t = 13.80 + -3.2 Combine like terms: 13.80 + -3.2 = 10.6 0.16t = 10.6 Divide each side by '0.16'. t = 66.25 Simplifying t = 66.25
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