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Simplifying 2(2t + 4) = 3 * 4(24 + -8t) Reorder the terms: 2(4 + 2t) = 3 * 4(24 + -8t) (4 * 2 + 2t * 2) = 3 * 4(24 + -8t) (8 + 4t) = 3 * 4(24 + -8t) Multiply 3 * 4 8 + 4t = 12(24 + -8t) 8 + 4t = (24 * 12 + -8t * 12) 8 + 4t = (288 + -96t) Solving 8 + 4t = 288 + -96t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '96t' to each side of the equation. 8 + 4t + 96t = 288 + -96t + 96t Combine like terms: 4t + 96t = 100t 8 + 100t = 288 + -96t + 96t Combine like terms: -96t + 96t = 0 8 + 100t = 288 + 0 8 + 100t = 288 Add '-8' to each side of the equation. 8 + -8 + 100t = 288 + -8 Combine like terms: 8 + -8 = 0 0 + 100t = 288 + -8 100t = 288 + -8 Combine like terms: 288 + -8 = 280 100t = 280 Divide each side by '100'. t = 2.8 Simplifying t = 2.8
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