(13b-6)-3(4b+1)=-6

Solution for (13b-6)-3(4b+1)=-6 equation:

Simplifying
(13b + -6) + -3(4b + 1) = -6

Reorder the terms:
(-6 + 13b) + -3(4b + 1) = -6

Remove parenthesis around (-6 + 13b)
-6 + 13b + -3(4b + 1) = -6

Reorder the terms:
-6 + 13b + -3(1 + 4b) = -6
-6 + 13b + (1 * -3 + 4b * -3) = -6
-6 + 13b + (-3 + -12b) = -6

Reorder the terms:
-6 + -3 + 13b + -12b = -6

Combine like terms: -6 + -3 = -9
-9 + 13b + -12b = -6

Combine like terms: 13b + -12b = 1b
-9 + 1b = -6

Solving
-9 + 1b = -6

Solving for variable 'b'.

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

Add '9' to each side of the equation.
-9 + 9 + 1b = -6 + 9

Combine like terms: -9 + 9 = 0
0 + 1b = -6 + 9
1b = -6 + 9

Combine like terms: -6 + 9 = 3
1b = 3

Divide each side by '1'.
b = 3

Simplifying
b = 3