.333(9b+1)=b-1

Solution for .333(9b+1)=b-1 equation:

Simplifying
0.333(9b + 1) = b + -1

Reorder the terms:
0.333(1 + 9b) = b + -1
(1 * 0.333 + 9b * 0.333) = b + -1
(0.333 + 2.997b) = b + -1

Reorder the terms:
0.333 + 2.997b = -1 + b

Solving
0.333 + 2.997b = -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.
0.333 + 2.997b + -1b = -1 + b + -1b

Combine like terms: 2.997b + -1b = 1.997b
0.333 + 1.997b = -1 + b + -1b

Combine like terms: b + -1b = 0
0.333 + 1.997b = -1 + 0
0.333 + 1.997b = -1

Add '-0.333' to each side of the equation.
0.333 + -0.333 + 1.997b = -1 + -0.333

Combine like terms: 0.333 + -0.333 = 0.000
0.000 + 1.997b = -1 + -0.333
1.997b = -1 + -0.333

Combine like terms: -1 + -0.333 = -1.333
1.997b = -1.333

Divide each side by '1.997'.
b = -0.6675012519

Simplifying
b = -0.6675012519