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Simplifying 12t + 5(1 + -4t) = 0 12t + (1 * 5 + -4t * 5) = 0 12t + (5 + -20t) = 0 Reorder the terms: 5 + 12t + -20t = 0 Combine like terms: 12t + -20t = -8t 5 + -8t = 0 Solving 5 + -8t = 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 + -8t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8t = 0 + -5 -8t = 0 + -5 Combine like terms: 0 + -5 = -5 -8t = -5 Divide each side by '-8'. t = 0.625 Simplifying t = 0.625
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