-6(-6b-7)=7b+13

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

Simplifying
-6(-6b + -7) = 7b + 13

Reorder the terms:
-6(-7 + -6b) = 7b + 13
(-7 * -6 + -6b * -6) = 7b + 13
(42 + 36b) = 7b + 13

Reorder the terms:
42 + 36b = 13 + 7b

Solving
42 + 36b = 13 + 7b

Solving for variable 'b'.

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

Add '-7b' to each side of the equation.
42 + 36b + -7b = 13 + 7b + -7b

Combine like terms: 36b + -7b = 29b
42 + 29b = 13 + 7b + -7b

Combine like terms: 7b + -7b = 0
42 + 29b = 13 + 0
42 + 29b = 13

Add '-42' to each side of the equation.
42 + -42 + 29b = 13 + -42

Combine like terms: 42 + -42 = 0
0 + 29b = 13 + -42
29b = 13 + -42

Combine like terms: 13 + -42 = -29
29b = -29

Divide each side by '29'.
b = -1

Simplifying
b = -1