32=2*(w*1.9)+2*w

Solution for 32=2*(w*1.9)+2*w equation:

Simplifying
32 = 2(w * 1.9) + 2w

Reorder the terms for easier multiplication:
32 = 2(1.9w) + 2w

Remove parenthesis around (1.9w)
32 = 2 * 1.9w + 2w

Multiply 2 * 1.9
32 = 3.8w + 2w

Combine like terms: 3.8w + 2w = 5.8w
32 = 5.8w

Solving
32 = 5.8w

Solving for variable 'w'.

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

Add '-5.8w' to each side of the equation.
32 + -5.8w = 5.8w + -5.8w

Combine like terms: 5.8w + -5.8w = 0.0
32 + -5.8w = 0.0

Add '-32' to each side of the equation.
32 + -32 + -5.8w = 0.0 + -32

Combine like terms: 32 + -32 = 0
0 + -5.8w = 0.0 + -32
-5.8w = 0.0 + -32

Combine like terms: 0.0 + -32 = -32
-5.8w = -32

Divide each side by '-5.8'.
w = 5.517241379

Simplifying
w = 5.517241379