180=(8b-12)+b+(2b+5)

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Solution for 180=(8b-12)+b+(2b+5) equation:


Simplifying
180 = (8b + -12) + b + (2b + 5)

Reorder the terms:
180 = (-12 + 8b) + b + (2b + 5)

Remove parenthesis around (-12 + 8b)
180 = -12 + 8b + b + (2b + 5)

Reorder the terms:
180 = -12 + 8b + b + (5 + 2b)

Remove parenthesis around (5 + 2b)
180 = -12 + 8b + b + 5 + 2b

Reorder the terms:
180 = -12 + 5 + 8b + b + 2b

Combine like terms: -12 + 5 = -7
180 = -7 + 8b + b + 2b

Combine like terms: 8b + b = 9b
180 = -7 + 9b + 2b

Combine like terms: 9b + 2b = 11b
180 = -7 + 11b

Solving
180 = -7 + 11b

Solving for variable 'b'.

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

Add '-11b' to each side of the equation.
180 + -11b = -7 + 11b + -11b

Combine like terms: 11b + -11b = 0
180 + -11b = -7 + 0
180 + -11b = -7

Add '-180' to each side of the equation.
180 + -180 + -11b = -7 + -180

Combine like terms: 180 + -180 = 0
0 + -11b = -7 + -180
-11b = -7 + -180

Combine like terms: -7 + -180 = -187
-11b = -187

Divide each side by '-11'.
b = 17

Simplifying
b = 17

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