(19b-6)-9(2b+3)=-6

Solution for (19b-6)-9(2b+3)=-6 equation:

Simplifying
(19b + -6) + -9(2b + 3) = -6

Reorder the terms:
(-6 + 19b) + -9(2b + 3) = -6

Remove parenthesis around (-6 + 19b)
-6 + 19b + -9(2b + 3) = -6

Reorder the terms:
-6 + 19b + -9(3 + 2b) = -6
-6 + 19b + (3 * -9 + 2b * -9) = -6
-6 + 19b + (-27 + -18b) = -6

Reorder the terms:
-6 + -27 + 19b + -18b = -6

Combine like terms: -6 + -27 = -33
-33 + 19b + -18b = -6

Combine like terms: 19b + -18b = 1b
-33 + 1b = -6

Solving
-33 + 1b = -6

Solving for variable 'b'.

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

Add '33' to each side of the equation.
-33 + 33 + 1b = -6 + 33

Combine like terms: -33 + 33 = 0
0 + 1b = -6 + 33
1b = -6 + 33

Combine like terms: -6 + 33 = 27
1b = 27

Divide each side by '1'.
b = 27

Simplifying
b = 27