(9b-3)-2(4b+1)=-4

Solution for (9b-3)-2(4b+1)=-4 equation:

Simplifying
(9b + -3) + -2(4b + 1) = -4

Reorder the terms:
(-3 + 9b) + -2(4b + 1) = -4

Remove parenthesis around (-3 + 9b)
-3 + 9b + -2(4b + 1) = -4

Reorder the terms:
-3 + 9b + -2(1 + 4b) = -4
-3 + 9b + (1 * -2 + 4b * -2) = -4
-3 + 9b + (-2 + -8b) = -4

Reorder the terms:
-3 + -2 + 9b + -8b = -4

Combine like terms: -3 + -2 = -5
-5 + 9b + -8b = -4

Combine like terms: 9b + -8b = 1b
-5 + 1b = -4

Solving
-5 + 1b = -4

Solving for variable 'b'.

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

Add '5' to each side of the equation.
-5 + 5 + 1b = -4 + 5

Combine like terms: -5 + 5 = 0
0 + 1b = -4 + 5
1b = -4 + 5

Combine like terms: -4 + 5 = 1
1b = 1

Divide each side by '1'.
b = 1

Simplifying
b = 1