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Simplifying 3 + 2t + -1 = 7t + 4 + -3t Reorder the terms: 3 + -1 + 2t = 7t + 4 + -3t Combine like terms: 3 + -1 = 2 2 + 2t = 7t + 4 + -3t Reorder the terms: 2 + 2t = 4 + 7t + -3t Combine like terms: 7t + -3t = 4t 2 + 2t = 4 + 4t Solving 2 + 2t = 4 + 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. 2 + 2t + -4t = 4 + 4t + -4t Combine like terms: 2t + -4t = -2t 2 + -2t = 4 + 4t + -4t Combine like terms: 4t + -4t = 0 2 + -2t = 4 + 0 2 + -2t = 4 Add '-2' to each side of the equation. 2 + -2 + -2t = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -2t = 4 + -2 -2t = 4 + -2 Combine like terms: 4 + -2 = 2 -2t = 2 Divide each side by '-2'. t = -1 Simplifying t = -1
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