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Simplifying 12(2t + 1) = 3 + 12t Reorder the terms: 12(1 + 2t) = 3 + 12t (1 * 12 + 2t * 12) = 3 + 12t (12 + 24t) = 3 + 12t Solving 12 + 24t = 3 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. 12 + 24t + -12t = 3 + 12t + -12t Combine like terms: 24t + -12t = 12t 12 + 12t = 3 + 12t + -12t Combine like terms: 12t + -12t = 0 12 + 12t = 3 + 0 12 + 12t = 3 Add '-12' to each side of the equation. 12 + -12 + 12t = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 12t = 3 + -12 12t = 3 + -12 Combine like terms: 3 + -12 = -9 12t = -9 Divide each side by '12'. t = -0.75 Simplifying t = -0.75
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