6=3w+6(w+4)

Solution for 6=3w+6(w+4) equation:

Simplifying
6 = 3w + 6(w + 4)

Reorder the terms:
6 = 3w + 6(4 + w)
6 = 3w + (4 * 6 + w * 6)
6 = 3w + (24 + 6w)

Reorder the terms:
6 = 24 + 3w + 6w

Combine like terms: 3w + 6w = 9w
6 = 24 + 9w

Solving
6 = 24 + 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 + -9w = 24 + 9w + -9w

Combine like terms: 9w + -9w = 0
6 + -9w = 24 + 0
6 + -9w = 24

Add '-6' to each side of the equation.
6 + -6 + -9w = 24 + -6

Combine like terms: 6 + -6 = 0
0 + -9w = 24 + -6
-9w = 24 + -6

Combine like terms: 24 + -6 = 18
-9w = 18

Divide each side by '-9'.
w = -2

Simplifying
w = -2