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Simplifying 3t + 4 = 1t + 31 + 1 Reorder the terms: 4 + 3t = 1t + 31 + 1 Reorder the terms: 4 + 3t = 31 + 1 + 1t Combine like terms: 31 + 1 = 32 4 + 3t = 32 + 1t Solving 4 + 3t = 32 + 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. 4 + 3t + -1t = 32 + 1t + -1t Combine like terms: 3t + -1t = 2t 4 + 2t = 32 + 1t + -1t Combine like terms: 1t + -1t = 0 4 + 2t = 32 + 0 4 + 2t = 32 Add '-4' to each side of the equation. 4 + -4 + 2t = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 2t = 32 + -4 2t = 32 + -4 Combine like terms: 32 + -4 = 28 2t = 28 Divide each side by '2'. t = 14 Simplifying t = 14
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