-2(3b+1)+(7b-4)=0

Solution for -2(3b+1)+(7b-4)=0 equation:

Simplifying
-2(3b + 1) + (7b + -4) = 0

Reorder the terms:
-2(1 + 3b) + (7b + -4) = 0
(1 * -2 + 3b * -2) + (7b + -4) = 0
(-2 + -6b) + (7b + -4) = 0

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

Remove parenthesis around (-4 + 7b)
-2 + -6b + -4 + 7b = 0

Reorder the terms:
-2 + -4 + -6b + 7b = 0

Combine like terms: -2 + -4 = -6
-6 + -6b + 7b = 0

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

Solving
-6 + 1b = 0

Solving for variable 'b'.

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

Add '6' to each side of the equation.
-6 + 6 + 1b = 0 + 6

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

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

Divide each side by '1'.
b = 6

Simplifying
b = 6