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Simplifying 7t + 1 = 5t + 8 Reorder the terms: 1 + 7t = 5t + 8 Reorder the terms: 1 + 7t = 8 + 5t Solving 1 + 7t = 8 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 1 + 7t + -5t = 8 + 5t + -5t Combine like terms: 7t + -5t = 2t 1 + 2t = 8 + 5t + -5t Combine like terms: 5t + -5t = 0 1 + 2t = 8 + 0 1 + 2t = 8 Add '-1' to each side of the equation. 1 + -1 + 2t = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 2t = 8 + -1 2t = 8 + -1 Combine like terms: 8 + -1 = 7 2t = 7 Divide each side by '2'. t = 3.5 Simplifying t = 3.5
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