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Simplifying 8t + 11 + -1t = 5t + 35 Reorder the terms: 11 + 8t + -1t = 5t + 35 Combine like terms: 8t + -1t = 7t 11 + 7t = 5t + 35 Reorder the terms: 11 + 7t = 35 + 5t Solving 11 + 7t = 35 + 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. 11 + 7t + -5t = 35 + 5t + -5t Combine like terms: 7t + -5t = 2t 11 + 2t = 35 + 5t + -5t Combine like terms: 5t + -5t = 0 11 + 2t = 35 + 0 11 + 2t = 35 Add '-11' to each side of the equation. 11 + -11 + 2t = 35 + -11 Combine like terms: 11 + -11 = 0 0 + 2t = 35 + -11 2t = 35 + -11 Combine like terms: 35 + -11 = 24 2t = 24 Divide each side by '2'. t = 12 Simplifying t = 12
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