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

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


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

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

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

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

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

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

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

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

Combine like terms: 2b + 2b = 4b
45 + 4b + b = 540

Combine like terms: 4b + b = 5b
45 + 5b = 540

Solving
45 + 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 + 5b = 540 + -45

Combine like terms: 45 + -45 = 0
0 + 5b = 540 + -45
5b = 540 + -45

Combine like terms: 540 + -45 = 495
5b = 495

Divide each side by '5'.
b = 99

Simplifying
b = 99

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