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Simplifying 12t + 4(1 + -5t) = 0 12t + (1 * 4 + -5t * 4) = 0 12t + (4 + -20t) = 0 Reorder the terms: 4 + 12t + -20t = 0 Combine like terms: 12t + -20t = -8t 4 + -8t = 0 Solving 4 + -8t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -8t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -8t = 0 + -4 -8t = 0 + -4 Combine like terms: 0 + -4 = -4 -8t = -4 Divide each side by '-8'. t = 0.5 Simplifying t = 0.5
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