(38+b)+b+(33+2b)=180

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Solution for (38+b)+b+(33+2b)=180 equation:


Simplifying
(38 + b) + b + (33 + 2b) = 180

Remove parenthesis around (38 + b)
38 + b + b + (33 + 2b) = 180

Remove parenthesis around (33 + 2b)
38 + b + b + 33 + 2b = 180

Reorder the terms:
38 + 33 + b + b + 2b = 180

Combine like terms: 38 + 33 = 71
71 + b + b + 2b = 180

Combine like terms: b + b = 2b
71 + 2b + 2b = 180

Combine like terms: 2b + 2b = 4b
71 + 4b = 180

Solving
71 + 4b = 180

Solving for variable 'b'.

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

Add '-71' to each side of the equation.
71 + -71 + 4b = 180 + -71

Combine like terms: 71 + -71 = 0
0 + 4b = 180 + -71
4b = 180 + -71

Combine like terms: 180 + -71 = 109
4b = 109

Divide each side by '4'.
b = 27.25

Simplifying
b = 27.25

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