7(w+6)-3w=30

Solution for 7(w+6)-3w=30 equation:

Simplifying
7(w + 6) + -3w = 30

Reorder the terms:
7(6 + w) + -3w = 30
(6 * 7 + w * 7) + -3w = 30
(42 + 7w) + -3w = 30

Combine like terms: 7w + -3w = 4w
42 + 4w = 30

Solving
42 + 4w = 30

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 + 4w = 30 + -42

Combine like terms: 42 + -42 = 0
0 + 4w = 30 + -42
4w = 30 + -42

Combine like terms: 30 + -42 = -12
4w = -12

Divide each side by '4'.
w = -3

Simplifying
w = -3