4w+(2w+15)-3(w+3)=0

Solution for 4w+(2w+15)-3(w+3)=0 equation:

Simplifying
4w + (2w + 15) + -3(w + 3) = 0

Reorder the terms:
4w + (15 + 2w) + -3(w + 3) = 0

Remove parenthesis around (15 + 2w)
4w + 15 + 2w + -3(w + 3) = 0

Reorder the terms:
4w + 15 + 2w + -3(3 + w) = 0
4w + 15 + 2w + (3 * -3 + w * -3) = 0
4w + 15 + 2w + (-9 + -3w) = 0

Reorder the terms:
15 + -9 + 4w + 2w + -3w = 0

Combine like terms: 15 + -9 = 6
6 + 4w + 2w + -3w = 0

Combine like terms: 4w + 2w = 6w
6 + 6w + -3w = 0

Combine like terms: 6w + -3w = 3w
6 + 3w = 0

Solving
6 + 3w = 0

Solving for variable 'w'.

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

Add '-6' to each side of the equation.
6 + -6 + 3w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3w = 0 + -6
3w = 0 + -6

Combine like terms: 0 + -6 = -6
3w = -6

Divide each side by '3'.
w = -2

Simplifying
w = -2