32-4(9-2)=4(T-1)

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Solution for 32-4(9-2)=4(T-1) equation: 


Simplifying
32 + -4(9 + -2) = 4(T + -1)

Combine like terms: 9 + -2 = 7
32 + -4(7) = 4(T + -1)

Multiply -4 * 7
32 + -28 = 4(T + -1)

Combine like terms: 32 + -28 = 4
4 = 4(T + -1)

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

Solving
4 = -4 + 4T

Solving for variable 'T'.

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

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

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

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

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

Combine like terms: -4 + -4 = -8
-4T = -8

Divide each side by '-4'.
T = 2

Simplifying
T = 2

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