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Simplifying 2(t + 1) = 102 Reorder the terms: 2(1 + t) = 102 (1 * 2 + t * 2) = 102 (2 + 2t) = 102 Solving 2 + 2t = 102 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 = 102 + -2 Combine like terms: 2 + -2 = 0 0 + 2t = 102 + -2 2t = 102 + -2 Combine like terms: 102 + -2 = 100 2t = 100 Divide each side by '2'. t = 50 Simplifying t = 50
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