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Simplifying 3t + 2 + 5t + -7t = 2 + 6 Reorder the terms: 2 + 3t + 5t + -7t = 2 + 6 Combine like terms: 3t + 5t = 8t 2 + 8t + -7t = 2 + 6 Combine like terms: 8t + -7t = 1t 2 + 1t = 2 + 6 Combine like terms: 2 + 6 = 8 2 + 1t = 8 Solving 2 + 1t = 8 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 = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 1t = 8 + -2 1t = 8 + -2 Combine like terms: 8 + -2 = 6 1t = 6 Divide each side by '1'. t = 6 Simplifying t = 6
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