(a+42)+(2a+1)=180

Solution for (a+42)+(2a+1)=180 equation:

Simplifying
(a + 42) + (2a + 1) = 180

Reorder the terms:
(42 + a) + (2a + 1) = 180

Remove parenthesis around (42 + a)
42 + a + (2a + 1) = 180

Reorder the terms:
42 + a + (1 + 2a) = 180

Remove parenthesis around (1 + 2a)
42 + a + 1 + 2a = 180

Reorder the terms:
42 + 1 + a + 2a = 180

Combine like terms: 42 + 1 = 43
43 + a + 2a = 180

Combine like terms: a + 2a = 3a
43 + 3a = 180

Solving
43 + 3a = 180

Solving for variable 'a'.

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

Add '-43' to each side of the equation.
43 + -43 + 3a = 180 + -43

Combine like terms: 43 + -43 = 0
0 + 3a = 180 + -43
3a = 180 + -43

Combine like terms: 180 + -43 = 137
3a = 137

Divide each side by '3'.
a = 45.66666667

Simplifying
a = 45.66666667