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

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

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

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

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

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

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

Combine like terms: -6 + -6 = -12
-12 + 7b + -6b = -6

Combine like terms: 7b + -6b = 1b
-12 + 1b = -6

Solving
-12 + 1b = -6

Solving for variable 'b'.

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

Add '12' to each side of the equation.
-12 + 12 + 1b = -6 + 12

Combine like terms: -12 + 12 = 0
0 + 1b = -6 + 12
1b = -6 + 12

Combine like terms: -6 + 12 = 6
1b = 6

Divide each side by '1'.
b = 6

Simplifying
b = 6