-3(2b+4)+(7b-9)=0

Solution for -3(2b+4)+(7b-9)=0 equation:

Simplifying
-3(2b + 4) + (7b + -9) = 0

Reorder the terms:
-3(4 + 2b) + (7b + -9) = 0
(4 * -3 + 2b * -3) + (7b + -9) = 0
(-12 + -6b) + (7b + -9) = 0

Reorder the terms:
-12 + -6b + (-9 + 7b) = 0

Remove parenthesis around (-9 + 7b)
-12 + -6b + -9 + 7b = 0

Reorder the terms:
-12 + -9 + -6b + 7b = 0

Combine like terms: -12 + -9 = -21
-21 + -6b + 7b = 0

Combine like terms: -6b + 7b = 1b
-21 + 1b = 0

Solving
-21 + 1b = 0

Solving for variable 'b'.

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

Add '21' to each side of the equation.
-21 + 21 + 1b = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 1b = 0 + 21
1b = 0 + 21

Combine like terms: 0 + 21 = 21
1b = 21

Divide each side by '1'.
b = 21

Simplifying
b = 21