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Simplifying 5t + -8 = 3t + 1 Reorder the terms: -8 + 5t = 3t + 1 Reorder the terms: -8 + 5t = 1 + 3t Solving -8 + 5t = 1 + 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. -8 + 5t + -3t = 1 + 3t + -3t Combine like terms: 5t + -3t = 2t -8 + 2t = 1 + 3t + -3t Combine like terms: 3t + -3t = 0 -8 + 2t = 1 + 0 -8 + 2t = 1 Add '8' to each side of the equation. -8 + 8 + 2t = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 2t = 1 + 8 2t = 1 + 8 Combine like terms: 1 + 8 = 9 2t = 9 Divide each side by '2'. t = 4.5 Simplifying t = 4.5
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