(7b-6)-3(2b+4)=-3

Solution for (7b-6)-3(2b+4)=-3 equation:

Simplifying
(7b + -6) + -3(2b + 4) = -3

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

Remove parenthesis around (-6 + 7b)
-6 + 7b + -3(2b + 4) = -3

Reorder the terms:
-6 + 7b + -3(4 + 2b) = -3
-6 + 7b + (4 * -3 + 2b * -3) = -3
-6 + 7b + (-12 + -6b) = -3

Reorder the terms:
-6 + -12 + 7b + -6b = -3

Combine like terms: -6 + -12 = -18
-18 + 7b + -6b = -3

Combine like terms: 7b + -6b = 1b
-18 + 1b = -3

Solving
-18 + 1b = -3

Solving for variable 'b'.

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

Add '18' to each side of the equation.
-18 + 18 + 1b = -3 + 18

Combine like terms: -18 + 18 = 0
0 + 1b = -3 + 18
1b = -3 + 18

Combine like terms: -3 + 18 = 15
1b = 15

Divide each side by '1'.
b = 15

Simplifying
b = 15