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

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

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

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

Combine like terms: 6w + 3w = 9w
42 + 9w = -30

Solving
42 + 9w = -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 + 9w = -30 + -42

Combine like terms: 42 + -42 = 0
0 + 9w = -30 + -42
9w = -30 + -42

Combine like terms: -30 + -42 = -72
9w = -72

Divide each side by '9'.
w = -8

Simplifying
w = -8