8(T-3)=7(T+3)-T

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Solution for 8(T-3)=7(T+3)-T equation: 


Simplifying
8(T + -3) = 7(T + 3) + -1T

Reorder the terms:
8(-3 + T) = 7(T + 3) + -1T
(-3 * 8 + T * 8) = 7(T + 3) + -1T
(-24 + 8T) = 7(T + 3) + -1T

Reorder the terms:
-24 + 8T = 7(3 + T) + -1T
-24 + 8T = (3 * 7 + T * 7) + -1T
-24 + 8T = (21 + 7T) + -1T

Combine like terms: 7T + -1T = 6T
-24 + 8T = 21 + 6T

Solving
-24 + 8T = 21 + 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.
-24 + 8T + -6T = 21 + 6T + -6T

Combine like terms: 8T + -6T = 2T
-24 + 2T = 21 + 6T + -6T

Combine like terms: 6T + -6T = 0
-24 + 2T = 21 + 0
-24 + 2T = 21

Add '24' to each side of the equation.
-24 + 24 + 2T = 21 + 24

Combine like terms: -24 + 24 = 0
0 + 2T = 21 + 24
2T = 21 + 24

Combine like terms: 21 + 24 = 45
2T = 45

Divide each side by '2'.
T = 22.5

Simplifying
T = 22.5

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