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Simplifying 5t + 1 = 3t + 13 Reorder the terms: 1 + 5t = 3t + 13 Reorder the terms: 1 + 5t = 13 + 3t Solving 1 + 5t = 13 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 1 + 5t + -3t = 13 + 3t + -3t Combine like terms: 5t + -3t = 2t 1 + 2t = 13 + 3t + -3t Combine like terms: 3t + -3t = 0 1 + 2t = 13 + 0 1 + 2t = 13 Add '-1' to each side of the equation. 1 + -1 + 2t = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 2t = 13 + -1 2t = 13 + -1 Combine like terms: 13 + -1 = 12 2t = 12 Divide each side by '2'. t = 6 Simplifying t = 6
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