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Simplifying (t + 1) + (t + 8) = 45 Reorder the terms: (1 + t) + (t + 8) = 45 Remove parenthesis around (1 + t) 1 + t + (t + 8) = 45 Reorder the terms: 1 + t + (8 + t) = 45 Remove parenthesis around (8 + t) 1 + t + 8 + t = 45 Reorder the terms: 1 + 8 + t + t = 45 Combine like terms: 1 + 8 = 9 9 + t + t = 45 Combine like terms: t + t = 2t 9 + 2t = 45 Solving 9 + 2t = 45 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2t = 45 + -9 Combine like terms: 9 + -9 = 0 0 + 2t = 45 + -9 2t = 45 + -9 Combine like terms: 45 + -9 = 36 2t = 36 Divide each side by '2'. t = 18 Simplifying t = 18
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