7(b+6)=-6(-7-2b)

Solution for 7(b+6)=-6(-7-2b) equation:

Simplifying
7(b + 6) = -6(-7 + -2b)

Reorder the terms:
7(6 + b) = -6(-7 + -2b)
(6 * 7 + b * 7) = -6(-7 + -2b)
(42 + 7b) = -6(-7 + -2b)
42 + 7b = (-7 * -6 + -2b * -6)
42 + 7b = (42 + 12b)

Add '-42' to each side of the equation.
42 + -42 + 7b = 42 + -42 + 12b

Combine like terms: 42 + -42 = 0
0 + 7b = 42 + -42 + 12b
7b = 42 + -42 + 12b

Combine like terms: 42 + -42 = 0
7b = 0 + 12b
7b = 12b

Solving
7b = 12b

Solving for variable 'b'.

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

Add '-12b' to each side of the equation.
7b + -12b = 12b + -12b

Combine like terms: 7b + -12b = -5b
-5b = 12b + -12b

Combine like terms: 12b + -12b = 0
-5b = 0

Divide each side by '-5'.
b = 0

Simplifying
b = 0