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