13.7b-6.5=-2.8b+8.5

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Solution for 13.7b-6.5=-2.8b+8.5 equation: 


Simplifying
13.7b + -6.5 = -2.8b + 8.5

Reorder the terms:
-6.5 + 13.7b = -2.8b + 8.5

Reorder the terms:
-6.5 + 13.7b = 8.5 + -2.8b

Solving
-6.5 + 13.7b = 8.5 + -2.8b

Solving for variable 'b'.

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

Add '2.8b' to each side of the equation.
-6.5 + 13.7b + 2.8b = 8.5 + -2.8b + 2.8b

Combine like terms: 13.7b + 2.8b = 16.5b
-6.5 + 16.5b = 8.5 + -2.8b + 2.8b

Combine like terms: -2.8b + 2.8b = 0.0
-6.5 + 16.5b = 8.5 + 0.0
-6.5 + 16.5b = 8.5

Add '6.5' to each side of the equation.
-6.5 + 6.5 + 16.5b = 8.5 + 6.5

Combine like terms: -6.5 + 6.5 = 0.0
0.0 + 16.5b = 8.5 + 6.5
16.5b = 8.5 + 6.5

Combine like terms: 8.5 + 6.5 = 15
16.5b = 15

Divide each side by '16.5'.
b = 0.9090909091

Simplifying
b = 0.9090909091

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