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Simplifying 4t + 9 + 6(3t + 7) = 0 Reorder the terms: 4t + 9 + 6(7 + 3t) = 0 4t + 9 + (7 * 6 + 3t * 6) = 0 4t + 9 + (42 + 18t) = 0 Reorder the terms: 9 + 42 + 4t + 18t = 0 Combine like terms: 9 + 42 = 51 51 + 4t + 18t = 0 Combine like terms: 4t + 18t = 22t 51 + 22t = 0 Solving 51 + 22t = 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 + 22t = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 22t = 0 + -51 22t = 0 + -51 Combine like terms: 0 + -51 = -51 22t = -51 Divide each side by '22'. t = -2.318181818 Simplifying t = -2.318181818
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