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Simplifying 5t + 8 = 3t + 20 Reorder the terms: 8 + 5t = 3t + 20 Reorder the terms: 8 + 5t = 20 + 3t Solving 8 + 5t = 20 + 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 = 20 + 3t + -3t Combine like terms: 5t + -3t = 2t 8 + 2t = 20 + 3t + -3t Combine like terms: 3t + -3t = 0 8 + 2t = 20 + 0 8 + 2t = 20 Add '-8' to each side of the equation. 8 + -8 + 2t = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 2t = 20 + -8 2t = 20 + -8 Combine like terms: 20 + -8 = 12 2t = 12 Divide each side by '2'. t = 6 Simplifying t = 6
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