13.7b+7=8.1b-19.4

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Solution for 13.7b+7=8.1b-19.4 equation: 


Simplifying
13.7b + 7 = 8.1b + -19.4

Reorder the terms:
7 + 13.7b = 8.1b + -19.4

Reorder the terms:
7 + 13.7b = -19.4 + 8.1b

Solving
7 + 13.7b = -19.4 + 8.1b

Solving for variable 'b'.

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

Add '-8.1b' to each side of the equation.
7 + 13.7b + -8.1b = -19.4 + 8.1b + -8.1b

Combine like terms: 13.7b + -8.1b = 5.6b
7 + 5.6b = -19.4 + 8.1b + -8.1b

Combine like terms: 8.1b + -8.1b = 0.0
7 + 5.6b = -19.4 + 0.0
7 + 5.6b = -19.4

Add '-7' to each side of the equation.
7 + -7 + 5.6b = -19.4 + -7

Combine like terms: 7 + -7 = 0
0 + 5.6b = -19.4 + -7
5.6b = -19.4 + -7

Combine like terms: -19.4 + -7 = -26.4
5.6b = -26.4

Divide each side by '5.6'.
b = -4.714285714

Simplifying
b = -4.714285714

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