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Simplifying 6 + -4t + 8 + 6t = 34 Reorder the terms: 6 + 8 + -4t + 6t = 34 Combine like terms: 6 + 8 = 14 14 + -4t + 6t = 34 Combine like terms: -4t + 6t = 2t 14 + 2t = 34 Solving 14 + 2t = 34 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2t = 34 + -14 Combine like terms: 14 + -14 = 0 0 + 2t = 34 + -14 2t = 34 + -14 Combine like terms: 34 + -14 = 20 2t = 20 Divide each side by '2'. t = 10 Simplifying t = 10
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