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Simplifying 4(6t + 5) + 9t + 3(4t + 7) = 0 Reorder the terms: 4(5 + 6t) + 9t + 3(4t + 7) = 0 (5 * 4 + 6t * 4) + 9t + 3(4t + 7) = 0 (20 + 24t) + 9t + 3(4t + 7) = 0 Reorder the terms: 20 + 24t + 9t + 3(7 + 4t) = 0 20 + 24t + 9t + (7 * 3 + 4t * 3) = 0 20 + 24t + 9t + (21 + 12t) = 0 Reorder the terms: 20 + 21 + 24t + 9t + 12t = 0 Combine like terms: 20 + 21 = 41 41 + 24t + 9t + 12t = 0 Combine like terms: 24t + 9t = 33t 41 + 33t + 12t = 0 Combine like terms: 33t + 12t = 45t 41 + 45t = 0 Solving 41 + 45t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 45t = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 45t = 0 + -41 45t = 0 + -41 Combine like terms: 0 + -41 = -41 45t = -41 Divide each side by '45'. t = -0.9111111111 Simplifying t = -0.9111111111
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