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

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

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

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

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

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

Reorder the terms:
2 + -6 + 7b + -6b = -6

Combine like terms: 2 + -6 = -4
-4 + 7b + -6b = -6

Combine like terms: 7b + -6b = 1b
-4 + 1b = -6

Solving
-4 + 1b = -6

Solving for variable 'b'.

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

Add '4' to each side of the equation.
-4 + 4 + 1b = -6 + 4

Combine like terms: -4 + 4 = 0
0 + 1b = -6 + 4
1b = -6 + 4

Combine like terms: -6 + 4 = -2
1b = -2

Divide each side by '1'.
b = -2

Simplifying
b = -2