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Simplifying 3t + 2 + 2t + -4t = 6 + 1 Reorder the terms: 2 + 3t + 2t + -4t = 6 + 1 Combine like terms: 3t + 2t = 5t 2 + 5t + -4t = 6 + 1 Combine like terms: 5t + -4t = 1t 2 + 1t = 6 + 1 Combine like terms: 6 + 1 = 7 2 + 1t = 7 Solving 2 + 1t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1t = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 1t = 7 + -2 1t = 7 + -2 Combine like terms: 7 + -2 = 5 1t = 5 Divide each side by '1'. t = 5 Simplifying t = 5
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