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

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


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

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

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

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

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

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

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

Combine like terms: 8b + 2b = 10b
-7 + 10b + b = 180

Combine like terms: 10b + b = 11b
-7 + 11b = 180

Solving
-7 + 11b = 180

Solving for variable 'b'.

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

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

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

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

Divide each side by '11'.
b = 17

Simplifying
b = 17

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