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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 = 33 33 + 4t + 12t = 0 Combine like terms: 4t + 12t = 16t 33 + 16t = 0 Solving 33 + 16t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 16t = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 16t = 0 + -33 16t = 0 + -33 Combine like terms: 0 + -33 = -33 16t = -33 Divide each side by '16'. t = -2.0625 Simplifying t = -2.0625
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