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Simplifying 4t + 9 + (2t + 7) * 6 = 0 Reorder the terms: 4t + 9 + (7 + 2t) * 6 = 0 Reorder the terms for easier multiplication: 4t + 9 + 6(7 + 2t) = 0 4t + 9 + (7 * 6 + 2t * 6) = 0 4t + 9 + (42 + 12t) = 0 Reorder the terms: 9 + 42 + 4t + 12t = 0 Combine like terms: 9 + 42 = 51 51 + 4t + 12t = 0 Combine like terms: 4t + 12t = 16t 51 + 16t = 0 Solving 51 + 16t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 16t = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 16t = 0 + -51 16t = 0 + -51 Combine like terms: 0 + -51 = -51 16t = -51 Divide each side by '16'. t = -3.1875 Simplifying t = -3.1875
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