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Simplifying 3t + 5 + 2t = 2 + 4t Reorder the terms: 5 + 3t + 2t = 2 + 4t Combine like terms: 3t + 2t = 5t 5 + 5t = 2 + 4t Solving 5 + 5t = 2 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 5 + 5t + -4t = 2 + 4t + -4t Combine like terms: 5t + -4t = 1t 5 + 1t = 2 + 4t + -4t Combine like terms: 4t + -4t = 0 5 + 1t = 2 + 0 5 + 1t = 2 Add '-5' to each side of the equation. 5 + -5 + 1t = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 1t = 2 + -5 1t = 2 + -5 Combine like terms: 2 + -5 = -3 1t = -3 Divide each side by '1'. t = -3 Simplifying t = -3
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