(7b-3)-2(3b+3)=-6

Solution for (7b-3)-2(3b+3)=-6 equation:

Simplifying
(7b + -3) + -2(3b + 3) = -6

Reorder the terms:
(-3 + 7b) + -2(3b + 3) = -6

Remove parenthesis around (-3 + 7b)
-3 + 7b + -2(3b + 3) = -6

Reorder the terms:
-3 + 7b + -2(3 + 3b) = -6
-3 + 7b + (3 * -2 + 3b * -2) = -6
-3 + 7b + (-6 + -6b) = -6

Reorder the terms:
-3 + -6 + 7b + -6b = -6

Combine like terms: -3 + -6 = -9
-9 + 7b + -6b = -6

Combine like terms: 7b + -6b = 1b
-9 + 1b = -6

Solving
-9 + 1b = -6

Solving for variable 'b'.

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

Add '9' to each side of the equation.
-9 + 9 + 1b = -6 + 9

Combine like terms: -9 + 9 = 0
0 + 1b = -6 + 9
1b = -6 + 9

Combine like terms: -6 + 9 = 3
1b = 3

Divide each side by '1'.
b = 3

Simplifying
b = 3