(T+5)(t+9)-6(t+6)=

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Solution for (T+5)(t+9)-6(t+6)= equation: 


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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