# (b+45)+(2b-90)+b+90=540

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## Solution for (b+45)+(2b-90)+b+90=540 equation:

Simplifying
(b + 45) + (2b + -90) + b + 90 = 540

Reorder the terms:
(45 + b) + (2b + -90) + b + 90 = 540

Remove parenthesis around (45 + b)
45 + b + (2b + -90) + b + 90 = 540

Reorder the terms:
45 + b + (-90 + 2b) + b + 90 = 540

Remove parenthesis around (-90 + 2b)
45 + b + -90 + 2b + b + 90 = 540

Reorder the terms:
45 + -90 + 90 + b + 2b + b = 540

Combine like terms: 45 + -90 = -45
-45 + 90 + b + 2b + b = 540

Combine like terms: -45 + 90 = 45
45 + b + 2b + b = 540

Combine like terms: b + 2b = 3b
45 + 3b + b = 540

Combine like terms: 3b + b = 4b
45 + 4b = 540

Solving
45 + 4b = 540

Solving for variable 'b'.

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

Add '-45' to each side of the equation.
45 + -45 + 4b = 540 + -45

Combine like terms: 45 + -45 = 0
0 + 4b = 540 + -45
4b = 540 + -45

Combine like terms: 540 + -45 = 495
4b = 495

Divide each side by '4'.
b = 123.75

Simplifying
b = 123.75`