6-2(2w+1)=4w-2(4+w)

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Solution for 6-2(2w+1)=4w-2(4+w) equation: 


Simplifying
6 + -2(2w + 1) = 4w + -2(4 + w)

Reorder the terms:
6 + -2(1 + 2w) = 4w + -2(4 + w)
6 + (1 * -2 + 2w * -2) = 4w + -2(4 + w)
6 + (-2 + -4w) = 4w + -2(4 + w)

Combine like terms: 6 + -2 = 4
4 + -4w = 4w + -2(4 + w)
4 + -4w = 4w + (4 * -2 + w * -2)
4 + -4w = 4w + (-8 + -2w)

Reorder the terms:
4 + -4w = -8 + 4w + -2w

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

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

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

Combine like terms: 2w + -2w = 0
4 + -6w = -8 + 0
4 + -6w = -8

Add '-4' to each side of the equation.
4 + -4 + -6w = -8 + -4

Combine like terms: 4 + -4 = 0
0 + -6w = -8 + -4
-6w = -8 + -4

Combine like terms: -8 + -4 = -12
-6w = -12

Divide each side by '-6'.
w = 2

Simplifying
w = 2

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