(7b-9)-2(3b+2)=-6

Solution for (7b-9)-2(3b+2)=-6 equation:

Simplifying
(7b + -9) + -2(3b + 2) = -6

Reorder the terms:
(-9 + 7b) + -2(3b + 2) = -6

Remove parenthesis around (-9 + 7b)
-9 + 7b + -2(3b + 2) = -6

Reorder the terms:
-9 + 7b + -2(2 + 3b) = -6
-9 + 7b + (2 * -2 + 3b * -2) = -6
-9 + 7b + (-4 + -6b) = -6

Reorder the terms:
-9 + -4 + 7b + -6b = -6

Combine like terms: -9 + -4 = -13
-13 + 7b + -6b = -6

Combine like terms: 7b + -6b = 1b
-13 + 1b = -6

Solving
-13 + 1b = -6

Solving for variable 'b'.

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

Add '13' to each side of the equation.
-13 + 13 + 1b = -6 + 13

Combine like terms: -13 + 13 = 0
0 + 1b = -6 + 13
1b = -6 + 13

Combine like terms: -6 + 13 = 7
1b = 7

Divide each side by '1'.
b = 7

Simplifying
b = 7