3.7b+7=8.2b-19.4

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Solution for 3.7b+7=8.2b-19.4 equation: 


Simplifying
3.7b + 7 = 8.2b + -19.4

Reorder the terms:
7 + 3.7b = 8.2b + -19.4

Reorder the terms:
7 + 3.7b = -19.4 + 8.2b

Solving
7 + 3.7b = -19.4 + 8.2b

Solving for variable 'b'.

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

Add '-8.2b' to each side of the equation.
7 + 3.7b + -8.2b = -19.4 + 8.2b + -8.2b

Combine like terms: 3.7b + -8.2b = -4.5b
7 + -4.5b = -19.4 + 8.2b + -8.2b

Combine like terms: 8.2b + -8.2b = 0.0
7 + -4.5b = -19.4 + 0.0
7 + -4.5b = -19.4

Add '-7' to each side of the equation.
7 + -7 + -4.5b = -19.4 + -7

Combine like terms: 7 + -7 = 0
0 + -4.5b = -19.4 + -7
-4.5b = -19.4 + -7

Combine like terms: -19.4 + -7 = -26.4
-4.5b = -26.4

Divide each side by '-4.5'.
b = 5.866666667

Simplifying
b = 5.866666667

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