9(T-1)=7(T+2)-T

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Solution for 9(T-1)=7(T+2)-T equation: 


Simplifying
9(T + -1) = 7(T + 2) + -1T

Reorder the terms:
9(-1 + T) = 7(T + 2) + -1T
(-1 * 9 + T * 9) = 7(T + 2) + -1T
(-9 + 9T) = 7(T + 2) + -1T

Reorder the terms:
-9 + 9T = 7(2 + T) + -1T
-9 + 9T = (2 * 7 + T * 7) + -1T
-9 + 9T = (14 + 7T) + -1T

Combine like terms: 7T + -1T = 6T
-9 + 9T = 14 + 6T

Solving
-9 + 9T = 14 + 6T

Solving for variable 'T'.

Move all terms containing T to the left, all other terms to the right.

Add '-6T' to each side of the equation.
-9 + 9T + -6T = 14 + 6T + -6T

Combine like terms: 9T + -6T = 3T
-9 + 3T = 14 + 6T + -6T

Combine like terms: 6T + -6T = 0
-9 + 3T = 14 + 0
-9 + 3T = 14

Add '9' to each side of the equation.
-9 + 9 + 3T = 14 + 9

Combine like terms: -9 + 9 = 0
0 + 3T = 14 + 9
3T = 14 + 9

Combine like terms: 14 + 9 = 23
3T = 23

Divide each side by '3'.
T = 7.666666667

Simplifying
T = 7.666666667

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