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Simplifying 6t + 3(1 + -3t) = 0 6t + (1 * 3 + -3t * 3) = 0 6t + (3 + -9t) = 0 Reorder the terms: 3 + 6t + -9t = 0 Combine like terms: 6t + -9t = -3t 3 + -3t = 0 Solving 3 + -3t = 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 + -3t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3t = 0 + -3 -3t = 0 + -3 Combine like terms: 0 + -3 = -3 -3t = -3 Divide each side by '-3'. t = 1 Simplifying t = 1
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