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

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


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

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

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

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

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

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

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

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

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

Combine like terms: 2b + 2b = 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

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