(9b-6)-2(4b+1)=-6

Solution for (9b-6)-2(4b+1)=-6 equation:

Simplifying
(9b + -6) + -2(4b + 1) = -6

Reorder the terms:
(-6 + 9b) + -2(4b + 1) = -6

Remove parenthesis around (-6 + 9b)
-6 + 9b + -2(4b + 1) = -6

Reorder the terms:
-6 + 9b + -2(1 + 4b) = -6
-6 + 9b + (1 * -2 + 4b * -2) = -6
-6 + 9b + (-2 + -8b) = -6

Reorder the terms:
-6 + -2 + 9b + -8b = -6

Combine like terms: -6 + -2 = -8
-8 + 9b + -8b = -6

Combine like terms: 9b + -8b = 1b
-8 + 1b = -6

Solving
-8 + 1b = -6

Solving for variable 'b'.

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

Add '8' to each side of the equation.
-8 + 8 + 1b = -6 + 8

Combine like terms: -8 + 8 = 0
0 + 1b = -6 + 8
1b = -6 + 8

Combine like terms: -6 + 8 = 2
1b = 2

Divide each side by '1'.
b = 2

Simplifying
b = 2