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

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

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

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

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

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

Reorder the terms:
-1 + -4 + 7b + -6b = -2

Combine like terms: -1 + -4 = -5
-5 + 7b + -6b = -2

Combine like terms: 7b + -6b = 1b
-5 + 1b = -2

Solving
-5 + 1b = -2

Solving for variable 'b'.

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

Add '5' to each side of the equation.
-5 + 5 + 1b = -2 + 5

Combine like terms: -5 + 5 = 0
0 + 1b = -2 + 5
1b = -2 + 5

Combine like terms: -2 + 5 = 3
1b = 3

Divide each side by '1'.
b = 3

Simplifying
b = 3