-2(3b+2)+(7b-9)=0

Solution for -2(3b+2)+(7b-9)=0 equation:

Simplifying
-2(3b + 2) + (7b + -9) = 0

Reorder the terms:
-2(2 + 3b) + (7b + -9) = 0
(2 * -2 + 3b * -2) + (7b + -9) = 0
(-4 + -6b) + (7b + -9) = 0

Reorder the terms:
-4 + -6b + (-9 + 7b) = 0

Remove parenthesis around (-9 + 7b)
-4 + -6b + -9 + 7b = 0

Reorder the terms:
-4 + -9 + -6b + 7b = 0

Combine like terms: -4 + -9 = -13
-13 + -6b + 7b = 0

Combine like terms: -6b + 7b = 1b
-13 + 1b = 0

Solving
-13 + 1b = 0

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 = 0 + 13

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

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

Divide each side by '1'.
b = 13

Simplifying
b = 13