(7b-6)-2(3b+2)=-7

Solution for (7b-6)-2(3b+2)=-7 equation:

Simplifying
(7b + -6) + -2(3b + 2) = -7

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

Remove parenthesis around (-6 + 7b)
-6 + 7b + -2(3b + 2) = -7

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

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

Combine like terms: -6 + -4 = -10
-10 + 7b + -6b = -7

Combine like terms: 7b + -6b = 1b
-10 + 1b = -7

Solving
-10 + 1b = -7

Solving for variable 'b'.

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

Add '10' to each side of the equation.
-10 + 10 + 1b = -7 + 10

Combine like terms: -10 + 10 = 0
0 + 1b = -7 + 10
1b = -7 + 10

Combine like terms: -7 + 10 = 3
1b = 3

Divide each side by '1'.
b = 3

Simplifying
b = 3