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Simplifying 46t + 31 = 38t + 47 Reorder the terms: 31 + 46t = 38t + 47 Reorder the terms: 31 + 46t = 47 + 38t Solving 31 + 46t = 47 + 38t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-38t' to each side of the equation. 31 + 46t + -38t = 47 + 38t + -38t Combine like terms: 46t + -38t = 8t 31 + 8t = 47 + 38t + -38t Combine like terms: 38t + -38t = 0 31 + 8t = 47 + 0 31 + 8t = 47 Add '-31' to each side of the equation. 31 + -31 + 8t = 47 + -31 Combine like terms: 31 + -31 = 0 0 + 8t = 47 + -31 8t = 47 + -31 Combine like terms: 47 + -31 = 16 8t = 16 Divide each side by '8'. t = 2 Simplifying t = 2
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