3.2b-6=2.1b+27

Solution for 3.2b-6=2.1b+27 equation:

Simplifying
3.2b + -6 = 2.1b + 27

Reorder the terms:
-6 + 3.2b = 2.1b + 27

Reorder the terms:
-6 + 3.2b = 27 + 2.1b

Solving
-6 + 3.2b = 27 + 2.1b

Solving for variable 'b'.

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

Add '-2.1b' to each side of the equation.
-6 + 3.2b + -2.1b = 27 + 2.1b + -2.1b

Combine like terms: 3.2b + -2.1b = 1.1b
-6 + 1.1b = 27 + 2.1b + -2.1b

Combine like terms: 2.1b + -2.1b = 0.0
-6 + 1.1b = 27 + 0.0
-6 + 1.1b = 27

Add '6' to each side of the equation.
-6 + 6 + 1.1b = 27 + 6

Combine like terms: -6 + 6 = 0
0 + 1.1b = 27 + 6
1.1b = 27 + 6

Combine like terms: 27 + 6 = 33
1.1b = 33

Divide each side by '1.1'.
b = 30

Simplifying
b = 30