3+(w+42)-32=2w

Solution for 3+(w+42)-32=2w equation:

Simplifying
3 + (w + 42) + -32 = 2w

Reorder the terms:
3 + (42 + w) + -32 = 2w

Remove parenthesis around (42 + w)
3 + 42 + w + -32 = 2w

Reorder the terms:
3 + 42 + -32 + w = 2w

Combine like terms: 3 + 42 = 45
45 + -32 + w = 2w

Combine like terms: 45 + -32 = 13
13 + w = 2w

Solving
13 + w = 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
13 + w + -2w = 2w + -2w

Combine like terms: w + -2w = -1w
13 + -1w = 2w + -2w

Combine like terms: 2w + -2w = 0
13 + -1w = 0

Add '-13' to each side of the equation.
13 + -13 + -1w = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1w = 0 + -13
-1w = 0 + -13

Combine like terms: 0 + -13 = -13
-1w = -13

Divide each side by '-1'.
w = 13

Simplifying
w = 13