(T+4)+(t+3)+(t-1)=39

Solution for (T+4)+(t+3)+(t-1)=39 equation:

Simplifying
(T + 4) + (t + 3) + (t + -1) = 39

Reorder the terms:
(4 + T) + (t + 3) + (t + -1) = 39

Remove parenthesis around (4 + T)
4 + T + (t + 3) + (t + -1) = 39

Reorder the terms:
4 + T + (3 + t) + (t + -1) = 39

Remove parenthesis around (3 + t)
4 + T + 3 + t + (t + -1) = 39

Reorder the terms:
4 + T + 3 + t + (-1 + t) = 39

Remove parenthesis around (-1 + t)
4 + T + 3 + t + -1 + t = 39

Reorder the terms:
4 + 3 + -1 + T + t + t = 39

Combine like terms: 4 + 3 = 7
7 + -1 + T + t + t = 39

Combine like terms: 7 + -1 = 6
6 + T + t + t = 39

Combine like terms: t + t = 2t
6 + T + 2t = 39

Solving
6 + T + 2t = 39

Solving for variable 'T'.

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

Add '-6' to each side of the equation.
6 + T + -6 + 2t = 39 + -6

Reorder the terms:
6 + -6 + T + 2t = 39 + -6

Combine like terms: 6 + -6 = 0
0 + T + 2t = 39 + -6
T + 2t = 39 + -6

Combine like terms: 39 + -6 = 33
T + 2t = 33

Add '-2t' to each side of the equation.
T + 2t + -2t = 33 + -2t

Combine like terms: 2t + -2t = 0
T + 0 = 33 + -2t
T = 33 + -2t

Simplifying
T = 33 + -2t