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Simplifying 3t + 1 = t + 7 Reorder the terms: 1 + 3t = t + 7 Reorder the terms: 1 + 3t = 7 + t Solving 1 + 3t = 7 + t 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. 1 + 3t + -1t = 7 + t + -1t Combine like terms: 3t + -1t = 2t 1 + 2t = 7 + t + -1t Combine like terms: t + -1t = 0 1 + 2t = 7 + 0 1 + 2t = 7 Add '-1' to each side of the equation. 1 + -1 + 2t = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 2t = 7 + -1 2t = 7 + -1 Combine like terms: 7 + -1 = 6 2t = 6 Divide each side by '2'. t = 3 Simplifying t = 3
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