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Simplifying t + 2t + 3t + -1 + 3t + 2 = 38 Reorder the terms: -1 + 2 + t + 2t + 3t + 3t = 38 Combine like terms: -1 + 2 = 1 1 + t + 2t + 3t + 3t = 38 Combine like terms: t + 2t = 3t 1 + 3t + 3t + 3t = 38 Combine like terms: 3t + 3t = 6t 1 + 6t + 3t = 38 Combine like terms: 6t + 3t = 9t 1 + 9t = 38 Solving 1 + 9t = 38 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 9t = 38 + -1 Combine like terms: 1 + -1 = 0 0 + 9t = 38 + -1 9t = 38 + -1 Combine like terms: 38 + -1 = 37 9t = 37 Divide each side by '9'. t = 4.111111111 Simplifying t = 4.111111111
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