b+1.5b+(b+45)+(2b-90)+90=180

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Solution for b+1.5b+(b+45)+(2b-90)+90=180 equation:


Simplifying
b + 1.5b + (b + 45) + (2b + -90) + 90 = 180

Reorder the terms:
b + 1.5b + (45 + b) + (2b + -90) + 90 = 180

Remove parenthesis around (45 + b)
b + 1.5b + 45 + b + (2b + -90) + 90 = 180

Reorder the terms:
b + 1.5b + 45 + b + (-90 + 2b) + 90 = 180

Remove parenthesis around (-90 + 2b)
b + 1.5b + 45 + b + -90 + 2b + 90 = 180

Reorder the terms:
45 + -90 + 90 + b + 1.5b + b + 2b = 180

Combine like terms: 45 + -90 = -45
-45 + 90 + b + 1.5b + b + 2b = 180

Combine like terms: -45 + 90 = 45
45 + b + 1.5b + b + 2b = 180

Combine like terms: b + 1.5b = 2.5b
45 + 2.5b + b + 2b = 180

Combine like terms: 2.5b + b = 3.5b
45 + 3.5b + 2b = 180

Combine like terms: 3.5b + 2b = 5.5b
45 + 5.5b = 180

Solving
45 + 5.5b = 180

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 = 180 + -45

Combine like terms: 45 + -45 = 0
0 + 5.5b = 180 + -45
5.5b = 180 + -45

Combine like terms: 180 + -45 = 135
5.5b = 135

Divide each side by '5.5'.
b = 24.54545455

Simplifying
b = 24.54545455

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