12-2(2w+1)=4w-2(4+w)

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Solution for 12-2(2w+1)=4w-2(4+w) equation: 


Simplifying
12 + -2(2w + 1) = 4w + -2(4 + w)

Reorder the terms:
12 + -2(1 + 2w) = 4w + -2(4 + w)
12 + (1 * -2 + 2w * -2) = 4w + -2(4 + w)
12 + (-2 + -4w) = 4w + -2(4 + w)

Combine like terms: 12 + -2 = 10
10 + -4w = 4w + -2(4 + w)
10 + -4w = 4w + (4 * -2 + w * -2)
10 + -4w = 4w + (-8 + -2w)

Reorder the terms:
10 + -4w = -8 + 4w + -2w

Combine like terms: 4w + -2w = 2w
10 + -4w = -8 + 2w

Solving
10 + -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.
10 + -4w + -2w = -8 + 2w + -2w

Combine like terms: -4w + -2w = -6w
10 + -6w = -8 + 2w + -2w

Combine like terms: 2w + -2w = 0
10 + -6w = -8 + 0
10 + -6w = -8

Add '-10' to each side of the equation.
10 + -10 + -6w = -8 + -10

Combine like terms: 10 + -10 = 0
0 + -6w = -8 + -10
-6w = -8 + -10

Combine like terms: -8 + -10 = -18
-6w = -18

Divide each side by '-6'.
w = 3

Simplifying
w = 3

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