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

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

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

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

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

Reorder the terms:
-1 + 7b + -3(3 + 2b) = -6
-1 + 7b + (3 * -3 + 2b * -3) = -6
-1 + 7b + (-9 + -6b) = -6

Reorder the terms:
-1 + -9 + 7b + -6b = -6

Combine like terms: -1 + -9 = -10
-10 + 7b + -6b = -6

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

Solving
-10 + 1b = -6

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 = -6 + 10

Combine like terms: -10 + 10 = 0
0 + 1b = -6 + 10
1b = -6 + 10

Combine like terms: -6 + 10 = 4
1b = 4

Divide each side by '1'.
b = 4

Simplifying
b = 4