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Simplifying 3(2t + 3) = 4t + 25 Reorder the terms: 3(3 + 2t) = 4t + 25 (3 * 3 + 2t * 3) = 4t + 25 (9 + 6t) = 4t + 25 Reorder the terms: 9 + 6t = 25 + 4t Solving 9 + 6t = 25 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 9 + 6t + -4t = 25 + 4t + -4t Combine like terms: 6t + -4t = 2t 9 + 2t = 25 + 4t + -4t Combine like terms: 4t + -4t = 0 9 + 2t = 25 + 0 9 + 2t = 25 Add '-9' to each side of the equation. 9 + -9 + 2t = 25 + -9 Combine like terms: 9 + -9 = 0 0 + 2t = 25 + -9 2t = 25 + -9 Combine like terms: 25 + -9 = 16 2t = 16 Divide each side by '2'. t = 8 Simplifying t = 8
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