16=2(w-2)-6w

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Solution for 16=2(w-2)-6w equation:


Simplifying
16 = 2(w + -2) + -6w

Reorder the terms:
16 = 2(-2 + w) + -6w
16 = (-2 * 2 + w * 2) + -6w
16 = (-4 + 2w) + -6w

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

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

Combine like terms: -4w + 4w = 0
16 + 4w = -4 + 0
16 + 4w = -4

Add '-16' to each side of the equation.
16 + -16 + 4w = -4 + -16

Combine like terms: 16 + -16 = 0
0 + 4w = -4 + -16
4w = -4 + -16

Combine like terms: -4 + -16 = -20
4w = -20

Divide each side by '4'.
w = -5

Simplifying
w = -5

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