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Simplifying 8t + 2t + -9t + 1 = 8 Reorder the terms: 1 + 8t + 2t + -9t = 8 Combine like terms: 8t + 2t = 10t 1 + 10t + -9t = 8 Combine like terms: 10t + -9t = 1t 1 + 1t = 8 Solving 1 + 1t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1t = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1t = 8 + -1 1t = 8 + -1 Combine like terms: 8 + -1 = 7 1t = 7 Divide each side by '1'. t = 7 Simplifying t = 7
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