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Simplifying 2(2t + 4) = (24 + -8t) Reorder the terms: 2(4 + 2t) = (24 + -8t) (4 * 2 + 2t * 2) = (24 + -8t) (8 + 4t) = (24 + -8t) Remove parenthesis around (24 + -8t) 8 + 4t = 24 + -8t Solving 8 + 4t = 24 + -8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8t' to each side of the equation. 8 + 4t + 8t = 24 + -8t + 8t Combine like terms: 4t + 8t = 12t 8 + 12t = 24 + -8t + 8t Combine like terms: -8t + 8t = 0 8 + 12t = 24 + 0 8 + 12t = 24 Add '-8' to each side of the equation. 8 + -8 + 12t = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 12t = 24 + -8 12t = 24 + -8 Combine like terms: 24 + -8 = 16 12t = 16 Divide each side by '12'. t = 1.333333333 Simplifying t = 1.333333333
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