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Simplifying t + 1 + t + 4 = t + 46 Reorder the terms: 1 + 4 + t + t = t + 46 Combine like terms: 1 + 4 = 5 5 + t + t = t + 46 Combine like terms: t + t = 2t 5 + 2t = t + 46 Reorder the terms: 5 + 2t = 46 + t Solving 5 + 2t = 46 + 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. 5 + 2t + -1t = 46 + t + -1t Combine like terms: 2t + -1t = 1t 5 + 1t = 46 + t + -1t Combine like terms: t + -1t = 0 5 + 1t = 46 + 0 5 + 1t = 46 Add '-5' to each side of the equation. 5 + -5 + 1t = 46 + -5 Combine like terms: 5 + -5 = 0 0 + 1t = 46 + -5 1t = 46 + -5 Combine like terms: 46 + -5 = 41 1t = 41 Divide each side by '1'. t = 41 Simplifying t = 41
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