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Simplifying 3t + 2(1 + -3t) = 0 3t + (1 * 2 + -3t * 2) = 0 3t + (2 + -6t) = 0 Reorder the terms: 2 + 3t + -6t = 0 Combine like terms: 3t + -6t = -3t 2 + -3t = 0 Solving 2 + -3t = 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 + -3t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3t = 0 + -2 -3t = 0 + -2 Combine like terms: 0 + -2 = -2 -3t = -2 Divide each side by '-3'. t = 0.6666666667 Simplifying t = 0.6666666667
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