90+(b+45)+b+1.5b+(2b-90)=540

Solution for 90+(b+45)+b+1.5b+(2b-90)=540 equation:

Simplifying
90 + (b + 45) + b + 1.5b + (2b + -90) = 540

Reorder the terms:
90 + (45 + b) + b + 1.5b + (2b + -90) = 540

Remove parenthesis around (45 + b)
90 + 45 + b + b + 1.5b + (2b + -90) = 540

Reorder the terms:
90 + 45 + b + b + 1.5b + (-90 + 2b) = 540

Remove parenthesis around (-90 + 2b)
90 + 45 + b + b + 1.5b + -90 + 2b = 540

Reorder the terms:
90 + 45 + -90 + b + b + 1.5b + 2b = 540

Combine like terms: 90 + 45 = 135
135 + -90 + b + b + 1.5b + 2b = 540

Combine like terms: 135 + -90 = 45
45 + b + b + 1.5b + 2b = 540

Combine like terms: b + b = 2b
45 + 2b + 1.5b + 2b = 540

Combine like terms: 2b + 1.5b = 3.5b
45 + 3.5b + 2b = 540

Combine like terms: 3.5b + 2b = 5.5b
45 + 5.5b = 540

Solving
45 + 5.5b = 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 + 5.5b = 540 + -45

Combine like terms: 45 + -45 = 0
0 + 5.5b = 540 + -45
5.5b = 540 + -45

Combine like terms: 540 + -45 = 495
5.5b = 495

Divide each side by '5.5'.
b = 90

Simplifying
b = 90