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Simplifying t + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 123456789 Reorder the terms: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + t = 123456789 Combine like terms: 1 + 2 = 3 3 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + t = 123456789 Combine like terms: 3 + 3 = 6 6 + 4 + 5 + 6 + 7 + 8 + 9 + t = 123456789 Combine like terms: 6 + 4 = 10 10 + 5 + 6 + 7 + 8 + 9 + t = 123456789 Combine like terms: 10 + 5 = 15 15 + 6 + 7 + 8 + 9 + t = 123456789 Combine like terms: 15 + 6 = 21 21 + 7 + 8 + 9 + t = 123456789 Combine like terms: 21 + 7 = 28 28 + 8 + 9 + t = 123456789 Combine like terms: 28 + 8 = 36 36 + 9 + t = 123456789 Combine like terms: 36 + 9 = 45 45 + t = 123456789 Solving 45 + t = 123456789 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + t = 123456789 + -45 Combine like terms: 45 + -45 = 0 0 + t = 123456789 + -45 t = 123456789 + -45 Combine like terms: 123456789 + -45 = 123456744 t = 123456744 Simplifying t = 123456744
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