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

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


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

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

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

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

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

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

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

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

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

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

Solving
45 + 4.5b = 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 + 4.5b = 540 + -45

Combine like terms: 45 + -45 = 0
0 + 4.5b = 540 + -45
4.5b = 540 + -45

Combine like terms: 540 + -45 = 495
4.5b = 495

Divide each side by '4.5'.
b = 110

Simplifying
b = 110

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