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Simplifying 1 + 2t + -2t + 1 + 3t = 6 Reorder the terms: 1 + 1 + 2t + -2t + 3t = 6 Combine like terms: 1 + 1 = 2 2 + 2t + -2t + 3t = 6 Combine like terms: 2t + -2t = 0 2 + 0 + 3t = 6 2 + 3t = 6 Solving 2 + 3t = 6 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 + 3t = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 3t = 6 + -2 3t = 6 + -2 Combine like terms: 6 + -2 = 4 3t = 4 Divide each side by '3'. t = 1.333333333 Simplifying t = 1.333333333
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