(7b+-9)+-2(3b+1)=-6

Solution for (7b+-9)+-2(3b+1)=-6 equation:

Simplifying
(7b + -9) + -2(3b + 1) = -6

Reorder the terms:
(-9 + 7b) + -2(3b + 1) = -6

Remove parenthesis around (-9 + 7b)
-9 + 7b + -2(3b + 1) = -6

Reorder the terms:
-9 + 7b + -2(1 + 3b) = -6
-9 + 7b + (1 * -2 + 3b * -2) = -6
-9 + 7b + (-2 + -6b) = -6

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

Combine like terms: -9 + -2 = -11
-11 + 7b + -6b = -6

Combine like terms: 7b + -6b = 1b
-11 + 1b = -6

Solving
-11 + 1b = -6

Solving for variable 'b'.

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

Add '11' to each side of the equation.
-11 + 11 + 1b = -6 + 11

Combine like terms: -11 + 11 = 0
0 + 1b = -6 + 11
1b = -6 + 11

Combine like terms: -6 + 11 = 5
1b = 5

Divide each side by '1'.
b = 5

Simplifying
b = 5