(w+3)+(w+3)2=41

Solution for (w+3)+(w+3)2=41 equation:

Simplifying
(w + 3) + (w + 3) * 2 = 41

Reorder the terms:
(3 + w) + (w + 3) * 2 = 41

Remove parenthesis around (3 + w)
3 + w + (w + 3) * 2 = 41

Reorder the terms:
3 + w + (3 + w) * 2 = 41

Reorder the terms for easier multiplication:
3 + w + 2(3 + w) = 41
3 + w + (3 * 2 + w * 2) = 41
3 + w + (6 + 2w) = 41

Reorder the terms:
3 + 6 + w + 2w = 41

Combine like terms: 3 + 6 = 9
9 + w + 2w = 41

Combine like terms: w + 2w = 3w
9 + 3w = 41

Solving
9 + 3w = 41

Solving for variable 'w'.

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

Add '-9' to each side of the equation.
9 + -9 + 3w = 41 + -9

Combine like terms: 9 + -9 = 0
0 + 3w = 41 + -9
3w = 41 + -9

Combine like terms: 41 + -9 = 32
3w = 32

Divide each side by '3'.
w = 10.66666667

Simplifying
w = 10.66666667