43=(4w+3)+w

Solution for 43=(4w+3)+w equation:

Simplifying
43 = (4w + 3) + w

Reorder the terms:
43 = (3 + 4w) + w

Remove parenthesis around (3 + 4w)
43 = 3 + 4w + w

Combine like terms: 4w + w = 5w
43 = 3 + 5w

Solving
43 = 3 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
43 + -5w = 3 + 5w + -5w

Combine like terms: 5w + -5w = 0
43 + -5w = 3 + 0
43 + -5w = 3

Add '-43' to each side of the equation.
43 + -43 + -5w = 3 + -43

Combine like terms: 43 + -43 = 0
0 + -5w = 3 + -43
-5w = 3 + -43

Combine like terms: 3 + -43 = -40
-5w = -40

Divide each side by '-5'.
w = 8

Simplifying
w = 8