(13b-6)-4(3b+1)=-7

Solution for (13b-6)-4(3b+1)=-7 equation:

Simplifying
(13b + -6) + -4(3b + 1) = -7

Reorder the terms:
(-6 + 13b) + -4(3b + 1) = -7

Remove parenthesis around (-6 + 13b)
-6 + 13b + -4(3b + 1) = -7

Reorder the terms:
-6 + 13b + -4(1 + 3b) = -7
-6 + 13b + (1 * -4 + 3b * -4) = -7
-6 + 13b + (-4 + -12b) = -7

Reorder the terms:
-6 + -4 + 13b + -12b = -7

Combine like terms: -6 + -4 = -10
-10 + 13b + -12b = -7

Combine like terms: 13b + -12b = 1b
-10 + 1b = -7

Solving
-10 + 1b = -7

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 = -7 + 10

Combine like terms: -10 + 10 = 0
0 + 1b = -7 + 10
1b = -7 + 10

Combine like terms: -7 + 10 = 3
1b = 3

Divide each side by '1'.
b = 3

Simplifying
b = 3