4.5(7.5b-5)=16.5+2.5b

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Solution for 4.5(7.5b-5)=16.5+2.5b equation: 


Simplifying
4.5(7.5b + -5) = 16.5 + 2.5b

Reorder the terms:
4.5(-5 + 7.5b) = 16.5 + 2.5b
(-5 * 4.5 + 7.5b * 4.5) = 16.5 + 2.5b
(-22.5 + 33.75b) = 16.5 + 2.5b

Solving
-22.5 + 33.75b = 16.5 + 2.5b

Solving for variable 'b'.

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

Add '-2.5b' to each side of the equation.
-22.5 + 33.75b + -2.5b = 16.5 + 2.5b + -2.5b

Combine like terms: 33.75b + -2.5b = 31.25b
-22.5 + 31.25b = 16.5 + 2.5b + -2.5b

Combine like terms: 2.5b + -2.5b = 0.0
-22.5 + 31.25b = 16.5 + 0.0
-22.5 + 31.25b = 16.5

Add '22.5' to each side of the equation.
-22.5 + 22.5 + 31.25b = 16.5 + 22.5

Combine like terms: -22.5 + 22.5 = 0.0
0.0 + 31.25b = 16.5 + 22.5
31.25b = 16.5 + 22.5

Combine like terms: 16.5 + 22.5 = 39
31.25b = 39

Divide each side by '31.25'.
b = 1.248

Simplifying
b = 1.248

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