(f+18)+(f+42)=180

Solution for (f+18)+(f+42)=180 equation:

Simplifying
(f + 18) + (f + 42) = 180

Reorder the terms:
(18 + f) + (f + 42) = 180

Remove parenthesis around (18 + f)
18 + f + (f + 42) = 180

Reorder the terms:
18 + f + (42 + f) = 180

Remove parenthesis around (42 + f)
18 + f + 42 + f = 180

Reorder the terms:
18 + 42 + f + f = 180

Combine like terms: 18 + 42 = 60
60 + f + f = 180

Combine like terms: f + f = 2f
60 + 2f = 180

Solving
60 + 2f = 180

Solving for variable 'f'.

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

Add '-60' to each side of the equation.
60 + -60 + 2f = 180 + -60

Combine like terms: 60 + -60 = 0
0 + 2f = 180 + -60
2f = 180 + -60

Combine like terms: 180 + -60 = 120
2f = 120

Divide each side by '2'.
f = 60

Simplifying
f = 60