7.8b+2.14=-42.7

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Solution for 7.8b+2.14=-42.7 equation: 


Simplifying
7.8b + 2.14 = -42.7

Reorder the terms:
2.14 + 7.8b = -42.7

Solving
2.14 + 7.8b = -42.7

Solving for variable 'b'.

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

Add '-2.14' to each side of the equation.
2.14 + -2.14 + 7.8b = -42.7 + -2.14

Combine like terms: 2.14 + -2.14 = 0.00
0.00 + 7.8b = -42.7 + -2.14
7.8b = -42.7 + -2.14

Combine like terms: -42.7 + -2.14 = -44.84
7.8b = -44.84

Divide each side by '7.8'.
b = -5.748717949

Simplifying
b = -5.748717949

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