7(T-2)-3(4T+2)=30

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Solution for 7(T-2)-3(4T+2)=30 equation: 


Simplifying
7(T + -2) + -3(4T + 2) = 30

Reorder the terms:
7(-2 + T) + -3(4T + 2) = 30
(-2 * 7 + T * 7) + -3(4T + 2) = 30
(-14 + 7T) + -3(4T + 2) = 30

Reorder the terms:
-14 + 7T + -3(2 + 4T) = 30
-14 + 7T + (2 * -3 + 4T * -3) = 30
-14 + 7T + (-6 + -12T) = 30

Reorder the terms:
-14 + -6 + 7T + -12T = 30

Combine like terms: -14 + -6 = -20
-20 + 7T + -12T = 30

Combine like terms: 7T + -12T = -5T
-20 + -5T = 30

Solving
-20 + -5T = 30

Solving for variable 'T'.

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

Add '20' to each side of the equation.
-20 + 20 + -5T = 30 + 20

Combine like terms: -20 + 20 = 0
0 + -5T = 30 + 20
-5T = 30 + 20

Combine like terms: 30 + 20 = 50
-5T = 50

Divide each side by '-5'.
T = -10

Simplifying
T = -10

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