3.7b+7=8.16b-19.4

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Solution for 3.7b+7=8.16b-19.4 equation:


Simplifying
3.7b + 7 = 8.16b + -19.4

Reorder the terms:
7 + 3.7b = 8.16b + -19.4

Reorder the terms:
7 + 3.7b = -19.4 + 8.16b

Solving
7 + 3.7b = -19.4 + 8.16b

Solving for variable 'b'.

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

Add '-8.16b' to each side of the equation.
7 + 3.7b + -8.16b = -19.4 + 8.16b + -8.16b

Combine like terms: 3.7b + -8.16b = -4.46b
7 + -4.46b = -19.4 + 8.16b + -8.16b

Combine like terms: 8.16b + -8.16b = 0.00
7 + -4.46b = -19.4 + 0.00
7 + -4.46b = -19.4

Add '-7' to each side of the equation.
7 + -7 + -4.46b = -19.4 + -7

Combine like terms: 7 + -7 = 0
0 + -4.46b = -19.4 + -7
-4.46b = -19.4 + -7

Combine like terms: -19.4 + -7 = -26.4
-4.46b = -26.4

Divide each side by '-4.46'.
b = 5.919282511

Simplifying
b = 5.919282511

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