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

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Solution for 17(T-1)=9(T+2)-T equation: 


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

Reorder the terms:
17(-1 + T) = 9(T + 2) + -1T
(-1 * 17 + T * 17) = 9(T + 2) + -1T
(-17 + 17T) = 9(T + 2) + -1T

Reorder the terms:
-17 + 17T = 9(2 + T) + -1T
-17 + 17T = (2 * 9 + T * 9) + -1T
-17 + 17T = (18 + 9T) + -1T

Combine like terms: 9T + -1T = 8T
-17 + 17T = 18 + 8T

Solving
-17 + 17T = 18 + 8T

Solving for variable 'T'.

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

Add '-8T' to each side of the equation.
-17 + 17T + -8T = 18 + 8T + -8T

Combine like terms: 17T + -8T = 9T
-17 + 9T = 18 + 8T + -8T

Combine like terms: 8T + -8T = 0
-17 + 9T = 18 + 0
-17 + 9T = 18

Add '17' to each side of the equation.
-17 + 17 + 9T = 18 + 17

Combine like terms: -17 + 17 = 0
0 + 9T = 18 + 17
9T = 18 + 17

Combine like terms: 18 + 17 = 35
9T = 35

Divide each side by '9'.
T = 3.888888889

Simplifying
T = 3.888888889

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