35+(2t+1)+(2t-12)=180

Solution for 35+(2t+1)+(2t-12)=180 equation:

Simplifying
35 + (2t + 1) + (2t + -12) = 180

Reorder the terms:
35 + (1 + 2t) + (2t + -12) = 180

Remove parenthesis around (1 + 2t)
35 + 1 + 2t + (2t + -12) = 180

Reorder the terms:
35 + 1 + 2t + (-12 + 2t) = 180

Remove parenthesis around (-12 + 2t)
35 + 1 + 2t + -12 + 2t = 180

Reorder the terms:
35 + 1 + -12 + 2t + 2t = 180

Combine like terms: 35 + 1 = 36
36 + -12 + 2t + 2t = 180

Combine like terms: 36 + -12 = 24
24 + 2t + 2t = 180

Combine like terms: 2t + 2t = 4t
24 + 4t = 180

Solving
24 + 4t = 180

Solving for variable 't'.

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

Add '-24' to each side of the equation.
24 + -24 + 4t = 180 + -24

Combine like terms: 24 + -24 = 0
0 + 4t = 180 + -24
4t = 180 + -24

Combine like terms: 180 + -24 = 156
4t = 156

Divide each side by '4'.
t = 39

Simplifying
t = 39