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Simplifying 2(25t + 15) = 10(2t + 9) Reorder the terms: 2(15 + 25t) = 10(2t + 9) (15 * 2 + 25t * 2) = 10(2t + 9) (30 + 50t) = 10(2t + 9) Reorder the terms: 30 + 50t = 10(9 + 2t) 30 + 50t = (9 * 10 + 2t * 10) 30 + 50t = (90 + 20t) Solving 30 + 50t = 90 + 20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20t' to each side of the equation. 30 + 50t + -20t = 90 + 20t + -20t Combine like terms: 50t + -20t = 30t 30 + 30t = 90 + 20t + -20t Combine like terms: 20t + -20t = 0 30 + 30t = 90 + 0 30 + 30t = 90 Add '-30' to each side of the equation. 30 + -30 + 30t = 90 + -30 Combine like terms: 30 + -30 = 0 0 + 30t = 90 + -30 30t = 90 + -30 Combine like terms: 90 + -30 = 60 30t = 60 Divide each side by '30'. t = 2 Simplifying t = 2
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