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Simplifying 2(4t + 2) + t + 7 = 0 Reorder the terms: 2(2 + 4t) + t + 7 = 0 (2 * 2 + 4t * 2) + t + 7 = 0 (4 + 8t) + t + 7 = 0 Reorder the terms: 4 + 7 + 8t + t = 0 Combine like terms: 4 + 7 = 11 11 + 8t + t = 0 Combine like terms: 8t + t = 9t 11 + 9t = 0 Solving 11 + 9t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 9t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 9t = 0 + -11 9t = 0 + -11 Combine like terms: 0 + -11 = -11 9t = -11 Divide each side by '9'. t = -1.222222222 Simplifying t = -1.222222222
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