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Simplifying 3(4t + 6) = 12 + 8t Reorder the terms: 3(6 + 4t) = 12 + 8t (6 * 3 + 4t * 3) = 12 + 8t (18 + 12t) = 12 + 8t Solving 18 + 12t = 12 + 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. 18 + 12t + -8t = 12 + 8t + -8t Combine like terms: 12t + -8t = 4t 18 + 4t = 12 + 8t + -8t Combine like terms: 8t + -8t = 0 18 + 4t = 12 + 0 18 + 4t = 12 Add '-18' to each side of the equation. 18 + -18 + 4t = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 4t = 12 + -18 4t = 12 + -18 Combine like terms: 12 + -18 = -6 4t = -6 Divide each side by '4'. t = -1.5 Simplifying t = -1.5
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