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

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


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

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

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

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

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

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

Combine like terms: 90 + -90 = 0
0 + 45 + b + 1.5b + 2b + b = 540
45 + b + 1.5b + 2b + b = 540

Combine like terms: b + 1.5b = 2.5b
45 + 2.5b + 2b + b = 540

Combine like terms: 2.5b + 2b = 4.5b
45 + 4.5b + b = 540

Combine like terms: 4.5b + b = 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

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