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