6(b+7)=b-4

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

Simplifying
6(b + 7) = b + -4

Reorder the terms:
6(7 + b) = b + -4
(7 * 6 + b * 6) = b + -4
(42 + 6b) = b + -4

Reorder the terms:
42 + 6b = -4 + b

Solving
42 + 6b = -4 + b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
42 + 6b + -1b = -4 + b + -1b

Combine like terms: 6b + -1b = 5b
42 + 5b = -4 + b + -1b

Combine like terms: b + -1b = 0
42 + 5b = -4 + 0
42 + 5b = -4

Add '-42' to each side of the equation.
42 + -42 + 5b = -4 + -42

Combine like terms: 42 + -42 = 0
0 + 5b = -4 + -42
5b = -4 + -42

Combine like terms: -4 + -42 = -46
5b = -46

Divide each side by '5'.
b = -9.2

Simplifying
b = -9.2