180=47+T+(T-6)

Solution for 180=47+T+(T-6) equation:

Simplifying
180 = 47 + T + (T + -6)

Reorder the terms:
180 = 47 + T + (-6 + T)

Remove parenthesis around (-6 + T)
180 = 47 + T + -6 + T

Reorder the terms:
180 = 47 + -6 + T + T

Combine like terms: 47 + -6 = 41
180 = 41 + T + T

Combine like terms: T + T = 2T
180 = 41 + 2T

Solving
180 = 41 + 2T

Solving for variable 'T'.

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

Add '-2T' to each side of the equation.
180 + -2T = 41 + 2T + -2T

Combine like terms: 2T + -2T = 0
180 + -2T = 41 + 0
180 + -2T = 41

Add '-180' to each side of the equation.
180 + -180 + -2T = 41 + -180

Combine like terms: 180 + -180 = 0
0 + -2T = 41 + -180
-2T = 41 + -180

Combine like terms: 41 + -180 = -139
-2T = -139

Divide each side by '-2'.
T = 69.5

Simplifying
T = 69.5