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Simplifying 6t + 3(1 + -4t) = 0 6t + (1 * 3 + -4t * 3) = 0 6t + (3 + -12t) = 0 Reorder the terms: 3 + 6t + -12t = 0 Combine like terms: 6t + -12t = -6t 3 + -6t = 0 Solving 3 + -6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -6t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -6t = 0 + -3 -6t = 0 + -3 Combine like terms: 0 + -3 = -3 -6t = -3 Divide each side by '-6'. t = 0.5 Simplifying t = 0.5
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