4(2+w)=16-2w

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Solution for 4(2+w)=16-2w equation:


Simplifying
4(2 + w) = 16 + -2w
(2 * 4 + w * 4) = 16 + -2w
(8 + 4w) = 16 + -2w

Solving
8 + 4w = 16 + -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.
8 + 4w + 2w = 16 + -2w + 2w

Combine like terms: 4w + 2w = 6w
8 + 6w = 16 + -2w + 2w

Combine like terms: -2w + 2w = 0
8 + 6w = 16 + 0
8 + 6w = 16

Add '-8' to each side of the equation.
8 + -8 + 6w = 16 + -8

Combine like terms: 8 + -8 = 0
0 + 6w = 16 + -8
6w = 16 + -8

Combine like terms: 16 + -8 = 8
6w = 8

Divide each side by '6'.
w = 1.333333333

Simplifying
w = 1.333333333

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