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Simplifying 2t + 2(1 + -2t) = 0 2t + (1 * 2 + -2t * 2) = 0 2t + (2 + -4t) = 0 Reorder the terms: 2 + 2t + -4t = 0 Combine like terms: 2t + -4t = -2t 2 + -2t = 0 Solving 2 + -2t = 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 + -2t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2t = 0 + -2 -2t = 0 + -2 Combine like terms: 0 + -2 = -2 -2t = -2 Divide each side by '-2'. t = 1 Simplifying t = 1
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