32=2(1+2w)+2w

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Solution for 32=2(1+2w)+2w equation:


Simplifying
32 = 2(1 + 2w) + 2w
32 = (1 * 2 + 2w * 2) + 2w
32 = (2 + 4w) + 2w

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

Solving
32 = 2 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
32 + -6w = 2 + 6w + -6w

Combine like terms: 6w + -6w = 0
32 + -6w = 2 + 0
32 + -6w = 2

Add '-32' to each side of the equation.
32 + -32 + -6w = 2 + -32

Combine like terms: 32 + -32 = 0
0 + -6w = 2 + -32
-6w = 2 + -32

Combine like terms: 2 + -32 = -30
-6w = -30

Divide each side by '-6'.
w = 5

Simplifying
w = 5

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