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Simplifying 1.08(2t + 2.50) + 3 = t Reorder the terms: 1.08(2.50 + 2t) + 3 = t (2.50 * 1.08 + 2t * 1.08) + 3 = t (2.7 + 2.16t) + 3 = t Reorder the terms: 2.7 + 3 + 2.16t = t Combine like terms: 2.7 + 3 = 5.7 5.7 + 2.16t = t Solving 5.7 + 2.16t = t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 5.7 + 2.16t + -1t = t + -1t Combine like terms: 2.16t + -1t = 1.16t 5.7 + 1.16t = t + -1t Combine like terms: t + -1t = 0 5.7 + 1.16t = 0 Add '-5.7' to each side of the equation. 5.7 + -5.7 + 1.16t = 0 + -5.7 Combine like terms: 5.7 + -5.7 = 0.0 0.0 + 1.16t = 0 + -5.7 1.16t = 0 + -5.7 Combine like terms: 0 + -5.7 = -5.7 1.16t = -5.7 Divide each side by '1.16'. t = -4.913793103 Simplifying t = -4.913793103
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