7b+6.5=3.2b+17.9

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Solution for 7b+6.5=3.2b+17.9 equation: 


Simplifying
7b + 6.5 = 3.2b + 17.9

Reorder the terms:
6.5 + 7b = 3.2b + 17.9

Reorder the terms:
6.5 + 7b = 17.9 + 3.2b

Solving
6.5 + 7b = 17.9 + 3.2b

Solving for variable 'b'.

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

Add '-3.2b' to each side of the equation.
6.5 + 7b + -3.2b = 17.9 + 3.2b + -3.2b

Combine like terms: 7b + -3.2b = 3.8b
6.5 + 3.8b = 17.9 + 3.2b + -3.2b

Combine like terms: 3.2b + -3.2b = 0.0
6.5 + 3.8b = 17.9 + 0.0
6.5 + 3.8b = 17.9

Add '-6.5' to each side of the equation.
6.5 + -6.5 + 3.8b = 17.9 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + 3.8b = 17.9 + -6.5
3.8b = 17.9 + -6.5

Combine like terms: 17.9 + -6.5 = 11.4
3.8b = 11.4

Divide each side by '3.8'.
b = 3

Simplifying
b = 3

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