4w+2(w+3)=24

Solution for 4w+2(w+3)=24 equation:

Simplifying
4w + 2(w + 3) = 24

Reorder the terms:
4w + 2(3 + w) = 24
4w + (3 * 2 + w * 2) = 24
4w + (6 + 2w) = 24

Reorder the terms:
6 + 4w + 2w = 24

Combine like terms: 4w + 2w = 6w
6 + 6w = 24

Solving
6 + 6w = 24

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 + 6w = 24 + -6

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

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

Divide each side by '6'.
w = 3

Simplifying
w = 3