(T+6)-t-(2-6t)=22

Solution for (T+6)-t-(2-6t)=22 equation:

Simplifying
(T + 6) + -1t + -1(2 + -6t) = 22

Reorder the terms:
(6 + T) + -1t + -1(2 + -6t) = 22

Remove parenthesis around (6 + T)
6 + T + -1t + -1(2 + -6t) = 22
6 + T + -1t + (2 * -1 + -6t * -1) = 22
6 + T + -1t + (-2 + 6t) = 22

Reorder the terms:
6 + -2 + T + -1t + 6t = 22

Combine like terms: 6 + -2 = 4
4 + T + -1t + 6t = 22

Combine like terms: -1t + 6t = 5t
4 + T + 5t = 22

Solving
4 + T + 5t = 22

Solving for variable 'T'.

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

Add '-4' to each side of the equation.
4 + T + -4 + 5t = 22 + -4

Reorder the terms:
4 + -4 + T + 5t = 22 + -4

Combine like terms: 4 + -4 = 0
0 + T + 5t = 22 + -4
T + 5t = 22 + -4

Combine like terms: 22 + -4 = 18
T + 5t = 18

Add '-5t' to each side of the equation.
T + 5t + -5t = 18 + -5t

Combine like terms: 5t + -5t = 0
T + 0 = 18 + -5t
T = 18 + -5t

Simplifying
T = 18 + -5t