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Simplifying 3t + 2 = 1t + 8 Reorder the terms: 2 + 3t = 1t + 8 Reorder the terms: 2 + 3t = 8 + 1t Solving 2 + 3t = 8 + 1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 2 + 3t + -1t = 8 + 1t + -1t Combine like terms: 3t + -1t = 2t 2 + 2t = 8 + 1t + -1t Combine like terms: 1t + -1t = 0 2 + 2t = 8 + 0 2 + 2t = 8 Add '-2' to each side of the equation. 2 + -2 + 2t = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 2t = 8 + -2 2t = 8 + -2 Combine like terms: 8 + -2 = 6 2t = 6 Divide each side by '2'. t = 3 Simplifying t = 3
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