-5(T-2)+7T=9T-7

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Solution for -5(T-2)+7T=9T-7 equation: 


Simplifying
-5(T + -2) + 7T = 9T + -7

Reorder the terms:
-5(-2 + T) + 7T = 9T + -7
(-2 * -5 + T * -5) + 7T = 9T + -7
(10 + -5T) + 7T = 9T + -7

Combine like terms: -5T + 7T = 2T
10 + 2T = 9T + -7

Reorder the terms:
10 + 2T = -7 + 9T

Solving
10 + 2T = -7 + 9T

Solving for variable 'T'.

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

Add '-9T' to each side of the equation.
10 + 2T + -9T = -7 + 9T + -9T

Combine like terms: 2T + -9T = -7T
10 + -7T = -7 + 9T + -9T

Combine like terms: 9T + -9T = 0
10 + -7T = -7 + 0
10 + -7T = -7

Add '-10' to each side of the equation.
10 + -10 + -7T = -7 + -10

Combine like terms: 10 + -10 = 0
0 + -7T = -7 + -10
-7T = -7 + -10

Combine like terms: -7 + -10 = -17
-7T = -17

Divide each side by '-7'.
T = 2.428571429

Simplifying
T = 2.428571429

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