(7b-1)-3(2b+4)=-6

Solution for (7b-1)-3(2b+4)=-6 equation:

Simplifying
(7b + -1) + -3(2b + 4) = -6

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

Remove parenthesis around (-1 + 7b)
-1 + 7b + -3(2b + 4) = -6

Reorder the terms:
-1 + 7b + -3(4 + 2b) = -6
-1 + 7b + (4 * -3 + 2b * -3) = -6
-1 + 7b + (-12 + -6b) = -6

Reorder the terms:
-1 + -12 + 7b + -6b = -6

Combine like terms: -1 + -12 = -13
-13 + 7b + -6b = -6

Combine like terms: 7b + -6b = 1b
-13 + 1b = -6

Solving
-13 + 1b = -6

Solving for variable 'b'.

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

Add '13' to each side of the equation.
-13 + 13 + 1b = -6 + 13

Combine like terms: -13 + 13 = 0
0 + 1b = -6 + 13
1b = -6 + 13

Combine like terms: -6 + 13 = 7
1b = 7

Divide each side by '1'.
b = 7

Simplifying
b = 7