2t-19+2t-16+2t-17=180

Solution for 2t-19+2t-16+2t-17=180 equation:

Simplifying
2t + -19 + 2t + -16 + 2t + -17 = 180

Reorder the terms:
-19 + -16 + -17 + 2t + 2t + 2t = 180

Combine like terms: -19 + -16 = -35
-35 + -17 + 2t + 2t + 2t = 180

Combine like terms: -35 + -17 = -52
-52 + 2t + 2t + 2t = 180

Combine like terms: 2t + 2t = 4t
-52 + 4t + 2t = 180

Combine like terms: 4t + 2t = 6t
-52 + 6t = 180

Solving
-52 + 6t = 180

Solving for variable 't'.

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

Add '52' to each side of the equation.
-52 + 52 + 6t = 180 + 52

Combine like terms: -52 + 52 = 0
0 + 6t = 180 + 52
6t = 180 + 52

Combine like terms: 180 + 52 = 232
6t = 232

Divide each side by '6'.
t = 38.66666667

Simplifying
t = 38.66666667