b+12+(6b-9)+(2b-12)=180

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Solution for b+12+(6b-9)+(2b-12)=180 equation:


Simplifying
b + 12 + (6b + -9) + (2b + -12) = 180

Reorder the terms:
b + 12 + (-9 + 6b) + (2b + -12) = 180

Remove parenthesis around (-9 + 6b)
b + 12 + -9 + 6b + (2b + -12) = 180

Reorder the terms:
b + 12 + -9 + 6b + (-12 + 2b) = 180

Remove parenthesis around (-12 + 2b)
b + 12 + -9 + 6b + -12 + 2b = 180

Reorder the terms:
12 + -9 + -12 + b + 6b + 2b = 180

Combine like terms: 12 + -9 = 3
3 + -12 + b + 6b + 2b = 180

Combine like terms: 3 + -12 = -9
-9 + b + 6b + 2b = 180

Combine like terms: b + 6b = 7b
-9 + 7b + 2b = 180

Combine like terms: 7b + 2b = 9b
-9 + 9b = 180

Solving
-9 + 9b = 180

Solving for variable 'b'.

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

Add '9' to each side of the equation.
-9 + 9 + 9b = 180 + 9

Combine like terms: -9 + 9 = 0
0 + 9b = 180 + 9
9b = 180 + 9

Combine like terms: 180 + 9 = 189
9b = 189

Divide each side by '9'.
b = 21

Simplifying
b = 21

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