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Simplifying 5t + 9 + 2t = 11 + 5t Reorder the terms: 9 + 5t + 2t = 11 + 5t Combine like terms: 5t + 2t = 7t 9 + 7t = 11 + 5t Solving 9 + 7t = 11 + 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. 9 + 7t + -5t = 11 + 5t + -5t Combine like terms: 7t + -5t = 2t 9 + 2t = 11 + 5t + -5t Combine like terms: 5t + -5t = 0 9 + 2t = 11 + 0 9 + 2t = 11 Add '-9' to each side of the equation. 9 + -9 + 2t = 11 + -9 Combine like terms: 9 + -9 = 0 0 + 2t = 11 + -9 2t = 11 + -9 Combine like terms: 11 + -9 = 2 2t = 2 Divide each side by '2'. t = 1 Simplifying t = 1
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