3w+6=-9(w+6)

Solution for 3w+6=-9(w+6) equation:

Simplifying
3w + 6 = -9(w + 6)

Reorder the terms:
6 + 3w = -9(w + 6)

Reorder the terms:
6 + 3w = -9(6 + w)
6 + 3w = (6 * -9 + w * -9)
6 + 3w = (-54 + -9w)

Solving
6 + 3w = -54 + -9w

Solving for variable 'w'.

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

Add '9w' to each side of the equation.
6 + 3w + 9w = -54 + -9w + 9w

Combine like terms: 3w + 9w = 12w
6 + 12w = -54 + -9w + 9w

Combine like terms: -9w + 9w = 0
6 + 12w = -54 + 0
6 + 12w = -54

Add '-6' to each side of the equation.
6 + -6 + 12w = -54 + -6

Combine like terms: 6 + -6 = 0
0 + 12w = -54 + -6
12w = -54 + -6

Combine like terms: -54 + -6 = -60
12w = -60

Divide each side by '12'.
w = -5

Simplifying
w = -5