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Simplifying 5 + 5t + -4 = 8t + 11 + -5t Reorder the terms: 5 + -4 + 5t = 8t + 11 + -5t Combine like terms: 5 + -4 = 1 1 + 5t = 8t + 11 + -5t Reorder the terms: 1 + 5t = 11 + 8t + -5t Combine like terms: 8t + -5t = 3t 1 + 5t = 11 + 3t Solving 1 + 5t = 11 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 1 + 5t + -3t = 11 + 3t + -3t Combine like terms: 5t + -3t = 2t 1 + 2t = 11 + 3t + -3t Combine like terms: 3t + -3t = 0 1 + 2t = 11 + 0 1 + 2t = 11 Add '-1' to each side of the equation. 1 + -1 + 2t = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 2t = 11 + -1 2t = 11 + -1 Combine like terms: 11 + -1 = 10 2t = 10 Divide each side by '2'. t = 5 Simplifying t = 5
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