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Simplifying 3t + 4(1 + -3t) = 0 3t + (1 * 4 + -3t * 4) = 0 3t + (4 + -12t) = 0 Reorder the terms: 4 + 3t + -12t = 0 Combine like terms: 3t + -12t = -9t 4 + -9t = 0 Solving 4 + -9t = 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 + -9t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9t = 0 + -4 -9t = 0 + -4 Combine like terms: 0 + -4 = -4 -9t = -4 Divide each side by '-9'. t = 0.4444444444 Simplifying t = 0.4444444444
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