6-2(2w+1)=8w-2(8+w)

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Solution for 6-2(2w+1)=8w-2(8+w) equation:


Simplifying
6 + -2(2w + 1) = 8w + -2(8 + w)

Reorder the terms:
6 + -2(1 + 2w) = 8w + -2(8 + w)
6 + (1 * -2 + 2w * -2) = 8w + -2(8 + w)
6 + (-2 + -4w) = 8w + -2(8 + w)

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

Reorder the terms:
4 + -4w = -16 + 8w + -2w

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

Solving
4 + -4w = -16 + 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.
4 + -4w + -6w = -16 + 6w + -6w

Combine like terms: -4w + -6w = -10w
4 + -10w = -16 + 6w + -6w

Combine like terms: 6w + -6w = 0
4 + -10w = -16 + 0
4 + -10w = -16

Add '-4' to each side of the equation.
4 + -4 + -10w = -16 + -4

Combine like terms: 4 + -4 = 0
0 + -10w = -16 + -4
-10w = -16 + -4

Combine like terms: -16 + -4 = -20
-10w = -20

Divide each side by '-10'.
w = 2

Simplifying
w = 2

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