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Simplifying 3(25t + 20) = 15(3t + 12) Reorder the terms: 3(20 + 25t) = 15(3t + 12) (20 * 3 + 25t * 3) = 15(3t + 12) (60 + 75t) = 15(3t + 12) Reorder the terms: 60 + 75t = 15(12 + 3t) 60 + 75t = (12 * 15 + 3t * 15) 60 + 75t = (180 + 45t) Solving 60 + 75t = 180 + 45t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-45t' to each side of the equation. 60 + 75t + -45t = 180 + 45t + -45t Combine like terms: 75t + -45t = 30t 60 + 30t = 180 + 45t + -45t Combine like terms: 45t + -45t = 0 60 + 30t = 180 + 0 60 + 30t = 180 Add '-60' to each side of the equation. 60 + -60 + 30t = 180 + -60 Combine like terms: 60 + -60 = 0 0 + 30t = 180 + -60 30t = 180 + -60 Combine like terms: 180 + -60 = 120 30t = 120 Divide each side by '30'. t = 4 Simplifying t = 4
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