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

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

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

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

Reorder the terms:
42 + 3w + 6w = -30

Combine like terms: 3w + 6w = 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