(b+3)+(3b-16)+(2b-11)=180

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Solution for (b+3)+(3b-16)+(2b-11)=180 equation:


Simplifying
(b + 3) + (3b + -16) + (2b + -11) = 180

Reorder the terms:
(3 + b) + (3b + -16) + (2b + -11) = 180

Remove parenthesis around (3 + b)
3 + b + (3b + -16) + (2b + -11) = 180

Reorder the terms:
3 + b + (-16 + 3b) + (2b + -11) = 180

Remove parenthesis around (-16 + 3b)
3 + b + -16 + 3b + (2b + -11) = 180

Reorder the terms:
3 + b + -16 + 3b + (-11 + 2b) = 180

Remove parenthesis around (-11 + 2b)
3 + b + -16 + 3b + -11 + 2b = 180

Reorder the terms:
3 + -16 + -11 + b + 3b + 2b = 180

Combine like terms: 3 + -16 = -13
-13 + -11 + b + 3b + 2b = 180

Combine like terms: -13 + -11 = -24
-24 + b + 3b + 2b = 180

Combine like terms: b + 3b = 4b
-24 + 4b + 2b = 180

Combine like terms: 4b + 2b = 6b
-24 + 6b = 180

Solving
-24 + 6b = 180

Solving for variable 'b'.

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

Add '24' to each side of the equation.
-24 + 24 + 6b = 180 + 24

Combine like terms: -24 + 24 = 0
0 + 6b = 180 + 24
6b = 180 + 24

Combine like terms: 180 + 24 = 204
6b = 204

Divide each side by '6'.
b = 34

Simplifying
b = 34

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