7(w+6)=5b-6

Solution for 7(w+6)=5b-6 equation:

Simplifying
7(w + 6) = 5b + -6

Reorder the terms:
7(6 + w) = 5b + -6
(6 * 7 + w * 7) = 5b + -6
(42 + 7w) = 5b + -6

Reorder the terms:
42 + 7w = -6 + 5b

Solving
42 + 7w = -6 + 5b

Solving for variable 'w'.

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

Add '-42' to each side of the equation.
42 + -42 + 7w = -6 + -42 + 5b

Combine like terms: 42 + -42 = 0
0 + 7w = -6 + -42 + 5b
7w = -6 + -42 + 5b

Combine like terms: -6 + -42 = -48
7w = -48 + 5b

Divide each side by '7'.
w = -6.857142857 + 0.7142857143b

Simplifying
w = -6.857142857 + 0.7142857143b