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Simplifying 3t + 5 = t + 13 Reorder the terms: 5 + 3t = t + 13 Reorder the terms: 5 + 3t = 13 + t Solving 5 + 3t = 13 + 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 + 3t + -1t = 13 + t + -1t Combine like terms: 3t + -1t = 2t 5 + 2t = 13 + t + -1t Combine like terms: t + -1t = 0 5 + 2t = 13 + 0 5 + 2t = 13 Add '-5' to each side of the equation. 5 + -5 + 2t = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 2t = 13 + -5 2t = 13 + -5 Combine like terms: 13 + -5 = 8 2t = 8 Divide each side by '2'. t = 4 Simplifying t = 4
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