(13b-8)-3(4b+1)=-1

Solution for (13b-8)-3(4b+1)=-1 equation:

Simplifying
(13b + -8) + -3(4b + 1) = -1

Reorder the terms:
(-8 + 13b) + -3(4b + 1) = -1

Remove parenthesis around (-8 + 13b)
-8 + 13b + -3(4b + 1) = -1

Reorder the terms:
-8 + 13b + -3(1 + 4b) = -1
-8 + 13b + (1 * -3 + 4b * -3) = -1
-8 + 13b + (-3 + -12b) = -1

Reorder the terms:
-8 + -3 + 13b + -12b = -1

Combine like terms: -8 + -3 = -11
-11 + 13b + -12b = -1

Combine like terms: 13b + -12b = 1b
-11 + 1b = -1

Solving
-11 + 1b = -1

Solving for variable 'b'.

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

Add '11' to each side of the equation.
-11 + 11 + 1b = -1 + 11

Combine like terms: -11 + 11 = 0
0 + 1b = -1 + 11
1b = -1 + 11

Combine like terms: -1 + 11 = 10
1b = 10

Divide each side by '1'.
b = 10

Simplifying
b = 10