7b-6(b+1)=2(b-1)-2b

Solution for 7b-6(b+1)=2(b-1)-2b equation:

Simplifying
7b + -6(b + 1) = 2(b + -1) + -2b

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

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

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

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

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

Solving
-6 + 1b = -2

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 = -2 + 6

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

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

Divide each side by '1'.
b = 4

Simplifying
b = 4