(41.5+c)+(10c+1)=180

Solution for (41.5+c)+(10c+1)=180 equation:

Simplifying
(41.5 + c) + (10c + 1) = 180

Remove parenthesis around (41.5 + c)
41.5 + c + (10c + 1) = 180

Reorder the terms:
41.5 + c + (1 + 10c) = 180

Remove parenthesis around (1 + 10c)
41.5 + c + 1 + 10c = 180

Reorder the terms:
41.5 + 1 + c + 10c = 180

Combine like terms: 41.5 + 1 = 42.5
42.5 + c + 10c = 180

Combine like terms: c + 10c = 11c
42.5 + 11c = 180

Solving
42.5 + 11c = 180

Solving for variable 'c'.

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

Add '-42.5' to each side of the equation.
42.5 + -42.5 + 11c = 180 + -42.5

Combine like terms: 42.5 + -42.5 = 0.0
0.0 + 11c = 180 + -42.5
11c = 180 + -42.5

Combine like terms: 180 + -42.5 = 137.5
11c = 137.5

Divide each side by '11'.
c = 12.5

Simplifying
c = 12.5