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Simplifying (T + 5)(t + 9) + -6(t + 6) = 0 Reorder the terms: (5 + T)(t + 9) + -6(t + 6) = 0 Reorder the terms: (5 + T)(9 + t) + -6(t + 6) = 0 Multiply (5 + T) * (9 + t) (5(9 + t) + T(9 + t)) + -6(t + 6) = 0 ((9 * 5 + t * 5) + T(9 + t)) + -6(t + 6) = 0 ((45 + 5t) + T(9 + t)) + -6(t + 6) = 0 (45 + 5t + (9 * T + t * T)) + -6(t + 6) = 0 (45 + 5t + (9T + tT)) + -6(t + 6) = 0 Reorder the terms: (45 + 9T + 5t + tT) + -6(t + 6) = 0 (45 + 9T + 5t + tT) + -6(t + 6) = 0 Reorder the terms: 45 + 9T + 5t + tT + -6(6 + t) = 0 45 + 9T + 5t + tT + (6 * -6 + t * -6) = 0 45 + 9T + 5t + tT + (-36 + -6t) = 0 Reorder the terms: 45 + -36 + 9T + 5t + -6t + tT = 0 Combine like terms: 45 + -36 = 9 9 + 9T + 5t + -6t + tT = 0 Combine like terms: 5t + -6t = -1t 9 + 9T + -1t + tT = 0 Solving 9 + 9T + -1t + tT = 0 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 9T + -1t + -9 + tT = 0 + -9 Reorder the terms: 9 + -9 + 9T + -1t + tT = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 9T + -1t + tT = 0 + -9 9T + -1t + tT = 0 + -9 Combine like terms: 0 + -9 = -9 9T + -1t + tT = -9 Add 't' to each side of the equation. 9T + -1t + t + tT = -9 + t Combine like terms: -1t + t = 0 9T + 0 + tT = -9 + t 9T + tT = -9 + t Reorder the terms: 9 + 9T + -1t + tT = -9 + t + 9 + -1t Reorder the terms: 9 + 9T + -1t + tT = -9 + 9 + t + -1t Combine like terms: -9 + 9 = 0 9 + 9T + -1t + tT = 0 + t + -1t 9 + 9T + -1t + tT = t + -1t Combine like terms: t + -1t = 0 9 + 9T + -1t + tT = 0 The solution to this equation could not be determined.
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