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Simplifying 2 + 3(4t + 1) = 0 Reorder the terms: 2 + 3(1 + 4t) = 0 2 + (1 * 3 + 4t * 3) = 0 2 + (3 + 12t) = 0 Combine like terms: 2 + 3 = 5 5 + 12t = 0 Solving 5 + 12t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 12t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 12t = 0 + -5 12t = 0 + -5 Combine like terms: 0 + -5 = -5 12t = -5 Divide each side by '12'. t = -0.4166666667 Simplifying t = -0.4166666667
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