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Simplifying (T + 6)(2t + -9) = 0 Reorder the terms: (6 + T)(2t + -9) = 0 Reorder the terms: (6 + T)(-9 + 2t) = 0 Multiply (6 + T) * (-9 + 2t) (6(-9 + 2t) + T(-9 + 2t)) = 0 ((-9 * 6 + 2t * 6) + T(-9 + 2t)) = 0 ((-54 + 12t) + T(-9 + 2t)) = 0 (-54 + 12t + (-9 * T + 2t * T)) = 0 (-54 + 12t + (-9T + 2tT)) = 0 Reorder the terms: (-54 + -9T + 12t + 2tT) = 0 (-54 + -9T + 12t + 2tT) = 0 Solving -54 + -9T + 12t + 2tT = 0 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '54' to each side of the equation. -54 + -9T + 12t + 54 + 2tT = 0 + 54 Reorder the terms: -54 + 54 + -9T + 12t + 2tT = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -9T + 12t + 2tT = 0 + 54 -9T + 12t + 2tT = 0 + 54 Combine like terms: 0 + 54 = 54 -9T + 12t + 2tT = 54 Add '-12t' to each side of the equation. -9T + 12t + -12t + 2tT = 54 + -12t Combine like terms: 12t + -12t = 0 -9T + 0 + 2tT = 54 + -12t -9T + 2tT = 54 + -12t Reorder the terms: -54 + -9T + 12t + 2tT = 54 + -12t + -54 + 12t Reorder the terms: -54 + -9T + 12t + 2tT = 54 + -54 + -12t + 12t Combine like terms: 54 + -54 = 0 -54 + -9T + 12t + 2tT = 0 + -12t + 12t -54 + -9T + 12t + 2tT = -12t + 12t Combine like terms: -12t + 12t = 0 -54 + -9T + 12t + 2tT = 0 The solution to this equation could not be determined.
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