.3(9b+1)=b+1

Solution for .3(9b+1)=b+1 equation:

Simplifying
0.3(9b + 1) = b + 1

Reorder the terms:
0.3(1 + 9b) = b + 1
(1 * 0.3 + 9b * 0.3) = b + 1
(0.3 + 2.7b) = b + 1

Reorder the terms:
0.3 + 2.7b = 1 + b

Solving
0.3 + 2.7b = 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.
0.3 + 2.7b + -1b = 1 + b + -1b

Combine like terms: 2.7b + -1b = 1.7b
0.3 + 1.7b = 1 + b + -1b

Combine like terms: b + -1b = 0
0.3 + 1.7b = 1 + 0
0.3 + 1.7b = 1

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 1.7b = 1 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 1.7b = 1 + -0.3
1.7b = 1 + -0.3

Combine like terms: 1 + -0.3 = 0.7
1.7b = 0.7

Divide each side by '1.7'.
b = 0.4117647059

Simplifying
b = 0.4117647059