-4(T-1)+9T=7T-9

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Solution for -4(T-1)+9T=7T-9 equation:


Simplifying
-4(T + -1) + 9T = 7T + -9

Reorder the terms:
-4(-1 + T) + 9T = 7T + -9
(-1 * -4 + T * -4) + 9T = 7T + -9
(4 + -4T) + 9T = 7T + -9

Combine like terms: -4T + 9T = 5T
4 + 5T = 7T + -9

Reorder the terms:
4 + 5T = -9 + 7T

Solving
4 + 5T = -9 + 7T

Solving for variable 'T'.

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

Add '-7T' to each side of the equation.
4 + 5T + -7T = -9 + 7T + -7T

Combine like terms: 5T + -7T = -2T
4 + -2T = -9 + 7T + -7T

Combine like terms: 7T + -7T = 0
4 + -2T = -9 + 0
4 + -2T = -9

Add '-4' to each side of the equation.
4 + -4 + -2T = -9 + -4

Combine like terms: 4 + -4 = 0
0 + -2T = -9 + -4
-2T = -9 + -4

Combine like terms: -9 + -4 = -13
-2T = -13

Divide each side by '-2'.
T = 6.5

Simplifying
T = 6.5

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