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

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


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

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

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

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

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

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

Solving
540 = 45 + 4.5b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-4.5b' to each side of the equation.
540 + -4.5b = 45 + 4.5b + -4.5b

Combine like terms: 4.5b + -4.5b = 0.0
540 + -4.5b = 45 + 0.0
540 + -4.5b = 45

Add '-540' to each side of the equation.
540 + -540 + -4.5b = 45 + -540

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

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

Divide each side by '-4.5'.
b = 110

Simplifying
b = 110

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