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

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


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

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

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

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

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

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

Combine like terms: 41.5 + 41.5 = 83
83 + 1 + c + c + 10c = 180

Combine like terms: 83 + 1 = 84
84 + c + c + 10c = 180

Combine like terms: c + c = 2c
84 + 2c + 10c = 180

Combine like terms: 2c + 10c = 12c
84 + 12c = 180

Solving
84 + 12c = 180

Solving for variable 'c'.

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

Add '-84' to each side of the equation.
84 + -84 + 12c = 180 + -84

Combine like terms: 84 + -84 = 0
0 + 12c = 180 + -84
12c = 180 + -84

Combine like terms: 180 + -84 = 96
12c = 96

Divide each side by '12'.
c = 8

Simplifying
c = 8

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