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

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

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

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

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

Remove parenthesis around (-1 + 7b)
-2 + -6b + -1 + 7b = 0

Reorder the terms:
-2 + -1 + -6b + 7b = 0

Combine like terms: -2 + -1 = -3
-3 + -6b + 7b = 0

Combine like terms: -6b + 7b = 1b
-3 + 1b = 0

Solving
-3 + 1b = 0

Solving for variable 'b'.

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

Add '3' to each side of the equation.
-3 + 3 + 1b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 1b = 0 + 3
1b = 0 + 3

Combine like terms: 0 + 3 = 3
1b = 3

Divide each side by '1'.
b = 3

Simplifying
b = 3