4.7b+7=7.1b-19.4

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Solution for 4.7b+7=7.1b-19.4 equation: 


Simplifying
4.7b + 7 = 7.1b + -19.4

Reorder the terms:
7 + 4.7b = 7.1b + -19.4

Reorder the terms:
7 + 4.7b = -19.4 + 7.1b

Solving
7 + 4.7b = -19.4 + 7.1b

Solving for variable 'b'.

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

Add '-7.1b' to each side of the equation.
7 + 4.7b + -7.1b = -19.4 + 7.1b + -7.1b

Combine like terms: 4.7b + -7.1b = -2.4b
7 + -2.4b = -19.4 + 7.1b + -7.1b

Combine like terms: 7.1b + -7.1b = 0.0
7 + -2.4b = -19.4 + 0.0
7 + -2.4b = -19.4

Add '-7' to each side of the equation.
7 + -7 + -2.4b = -19.4 + -7

Combine like terms: 7 + -7 = 0
0 + -2.4b = -19.4 + -7
-2.4b = -19.4 + -7

Combine like terms: -19.4 + -7 = -26.4
-2.4b = -26.4

Divide each side by '-2.4'.
b = 11

Simplifying
b = 11

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