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Simplifying 0 = 6t + 2(1 + -4t) 0 = 6t + (1 * 2 + -4t * 2) 0 = 6t + (2 + -8t) Reorder the terms: 0 = 2 + 6t + -8t Combine like terms: 6t + -8t = -2t 0 = 2 + -2t Solving 0 = 2 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. 0 + 2t = 2 + -2t + 2t Remove the zero: 2t = 2 + -2t + 2t Combine like terms: -2t + 2t = 0 2t = 2 + 0 2t = 2 Divide each side by '2'. t = 1 Simplifying t = 1
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