(13b-2)-4(3b+1)=-5

Solution for (13b-2)-4(3b+1)=-5 equation:

Simplifying
(13b + -2) + -4(3b + 1) = -5

Reorder the terms:
(-2 + 13b) + -4(3b + 1) = -5

Remove parenthesis around (-2 + 13b)
-2 + 13b + -4(3b + 1) = -5

Reorder the terms:
-2 + 13b + -4(1 + 3b) = -5
-2 + 13b + (1 * -4 + 3b * -4) = -5
-2 + 13b + (-4 + -12b) = -5

Reorder the terms:
-2 + -4 + 13b + -12b = -5

Combine like terms: -2 + -4 = -6
-6 + 13b + -12b = -5

Combine like terms: 13b + -12b = 1b
-6 + 1b = -5

Solving
-6 + 1b = -5

Solving for variable 'b'.

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

Add '6' to each side of the equation.
-6 + 6 + 1b = -5 + 6

Combine like terms: -6 + 6 = 0
0 + 1b = -5 + 6
1b = -5 + 6

Combine like terms: -5 + 6 = 1
1b = 1

Divide each side by '1'.
b = 1

Simplifying
b = 1