.33(9b+1)=b-1

Solution for .33(9b+1)=b-1 equation:

Simplifying
0.33(9b + 1) = b + -1

Reorder the terms:
0.33(1 + 9b) = b + -1
(1 * 0.33 + 9b * 0.33) = b + -1
(0.33 + 2.97b) = b + -1

Reorder the terms:
0.33 + 2.97b = -1 + b

Solving
0.33 + 2.97b = -1 + b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
0.33 + 2.97b + -1b = -1 + b + -1b

Combine like terms: 2.97b + -1b = 1.97b
0.33 + 1.97b = -1 + b + -1b

Combine like terms: b + -1b = 0
0.33 + 1.97b = -1 + 0
0.33 + 1.97b = -1

Add '-0.33' to each side of the equation.
0.33 + -0.33 + 1.97b = -1 + -0.33

Combine like terms: 0.33 + -0.33 = 0.00
0.00 + 1.97b = -1 + -0.33
1.97b = -1 + -0.33

Combine like terms: -1 + -0.33 = -1.33
1.97b = -1.33

Divide each side by '1.97'.
b = -0.6751269036

Simplifying
b = -0.6751269036