3.7b+7=8.1b-18.4

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Solution for 3.7b+7=8.1b-18.4 equation:


Simplifying
3.7b + 7 = 8.1b + -18.4

Reorder the terms:
7 + 3.7b = 8.1b + -18.4

Reorder the terms:
7 + 3.7b = -18.4 + 8.1b

Solving
7 + 3.7b = -18.4 + 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 + 3.7b + -8.1b = -18.4 + 8.1b + -8.1b

Combine like terms: 3.7b + -8.1b = -4.4b
7 + -4.4b = -18.4 + 8.1b + -8.1b

Combine like terms: 8.1b + -8.1b = 0.0
7 + -4.4b = -18.4 + 0.0
7 + -4.4b = -18.4

Add '-7' to each side of the equation.
7 + -7 + -4.4b = -18.4 + -7

Combine like terms: 7 + -7 = 0
0 + -4.4b = -18.4 + -7
-4.4b = -18.4 + -7

Combine like terms: -18.4 + -7 = -25.4
-4.4b = -25.4

Divide each side by '-4.4'.
b = 5.772727273

Simplifying
b = 5.772727273

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