-3(5b-4.5)=-17.5+8.5b

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Solution for -3(5b-4.5)=-17.5+8.5b equation: 


Simplifying
-3(5b + -4.5) = -17.5 + 8.5b

Reorder the terms:
-3(-4.5 + 5b) = -17.5 + 8.5b
(-4.5 * -3 + 5b * -3) = -17.5 + 8.5b
(13.5 + -15b) = -17.5 + 8.5b

Solving
13.5 + -15b = -17.5 + 8.5b

Solving for variable 'b'.

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

Add '-8.5b' to each side of the equation.
13.5 + -15b + -8.5b = -17.5 + 8.5b + -8.5b

Combine like terms: -15b + -8.5b = -23.5b
13.5 + -23.5b = -17.5 + 8.5b + -8.5b

Combine like terms: 8.5b + -8.5b = 0.0
13.5 + -23.5b = -17.5 + 0.0
13.5 + -23.5b = -17.5

Add '-13.5' to each side of the equation.
13.5 + -13.5 + -23.5b = -17.5 + -13.5

Combine like terms: 13.5 + -13.5 = 0.0
0.0 + -23.5b = -17.5 + -13.5
-23.5b = -17.5 + -13.5

Combine like terms: -17.5 + -13.5 = -31
-23.5b = -31

Divide each side by '-23.5'.
b = 1.319148936

Simplifying
b = 1.319148936

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