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Simplifying 3t + 2(1 + -4t) = 0 3t + (1 * 2 + -4t * 2) = 0 3t + (2 + -8t) = 0 Reorder the terms: 2 + 3t + -8t = 0 Combine like terms: 3t + -8t = -5t 2 + -5t = 0 Solving 2 + -5t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5t = 0 + -2 -5t = 0 + -2 Combine like terms: 0 + -2 = -2 -5t = -2 Divide each side by '-5'. t = 0.4 Simplifying t = 0.4
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