28.5+2.5b=-5.5(8b-7.5)

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Solution for 28.5+2.5b=-5.5(8b-7.5) equation: 


Simplifying
28.5 + 2.5b = -5.5(8b + -7.5)

Reorder the terms:
28.5 + 2.5b = -5.5(-7.5 + 8b)
28.5 + 2.5b = (-7.5 * -5.5 + 8b * -5.5)
28.5 + 2.5b = (41.25 + -44b)

Solving
28.5 + 2.5b = 41.25 + -44b

Solving for variable 'b'.

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

Add '44b' to each side of the equation.
28.5 + 2.5b + 44b = 41.25 + -44b + 44b

Combine like terms: 2.5b + 44b = 46.5b
28.5 + 46.5b = 41.25 + -44b + 44b

Combine like terms: -44b + 44b = 0
28.5 + 46.5b = 41.25 + 0
28.5 + 46.5b = 41.25

Add '-28.5' to each side of the equation.
28.5 + -28.5 + 46.5b = 41.25 + -28.5

Combine like terms: 28.5 + -28.5 = 0.0
0.0 + 46.5b = 41.25 + -28.5
46.5b = 41.25 + -28.5

Combine like terms: 41.25 + -28.5 = 12.75
46.5b = 12.75

Divide each side by '46.5'.
b = 0.2741935484

Simplifying
b = 0.2741935484

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