32=-6w+2(w+2)

Solution for 32=-6w+2(w+2) equation:

Simplifying
32 = -6w + 2(w + 2)

Reorder the terms:
32 = -6w + 2(2 + w)
32 = -6w + (2 * 2 + w * 2)
32 = -6w + (4 + 2w)

Reorder the terms:
32 = 4 + -6w + 2w

Combine like terms: -6w + 2w = -4w
32 = 4 + -4w

Solving
32 = 4 + -4w

Solving for variable 'w'.

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

Add '4w' to each side of the equation.
32 + 4w = 4 + -4w + 4w

Combine like terms: -4w + 4w = 0
32 + 4w = 4 + 0
32 + 4w = 4

Add '-32' to each side of the equation.
32 + -32 + 4w = 4 + -32

Combine like terms: 32 + -32 = 0
0 + 4w = 4 + -32
4w = 4 + -32

Combine like terms: 4 + -32 = -28
4w = -28

Divide each side by '4'.
w = -7

Simplifying
w = -7