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Simplifying 6(t * 2) = 4(t + 24) Reorder the terms for easier multiplication: 6(2t) = 4(t + 24) Remove parenthesis around (2t) 6 * 2t = 4(t + 24) Multiply 6 * 2 12t = 4(t + 24) Reorder the terms: 12t = 4(24 + t) 12t = (24 * 4 + t * 4) 12t = (96 + 4t) Solving 12t = 96 + 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. 12t + -4t = 96 + 4t + -4t Combine like terms: 12t + -4t = 8t 8t = 96 + 4t + -4t Combine like terms: 4t + -4t = 0 8t = 96 + 0 8t = 96 Divide each side by '8'. t = 12 Simplifying t = 12
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