2w+2(w+6)=30

Solution for 2w+2(w+6)=30 equation:

Simplifying
2w + 2(w + 6) = 30

Reorder the terms:
2w + 2(6 + w) = 30
2w + (6 * 2 + w * 2) = 30
2w + (12 + 2w) = 30

Reorder the terms:
12 + 2w + 2w = 30

Combine like terms: 2w + 2w = 4w
12 + 4w = 30

Solving
12 + 4w = 30

Solving for variable 'w'.

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

Add '-12' to each side of the equation.
12 + -12 + 4w = 30 + -12

Combine like terms: 12 + -12 = 0
0 + 4w = 30 + -12
4w = 30 + -12

Combine like terms: 30 + -12 = 18
4w = 18

Divide each side by '4'.
w = 4.5

Simplifying
w = 4.5