6w-2+3-4(4-w)=12+4w

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Solution for 6w-2+3-4(4-w)=12+4w equation: 


Simplifying
6w + -2 + 3 + -4(4 + -1w) = 12 + 4w
6w + -2 + 3 + (4 * -4 + -1w * -4) = 12 + 4w
6w + -2 + 3 + (-16 + 4w) = 12 + 4w

Reorder the terms:
-2 + 3 + -16 + 6w + 4w = 12 + 4w

Combine like terms: -2 + 3 = 1
1 + -16 + 6w + 4w = 12 + 4w

Combine like terms: 1 + -16 = -15
-15 + 6w + 4w = 12 + 4w

Combine like terms: 6w + 4w = 10w
-15 + 10w = 12 + 4w

Solving
-15 + 10w = 12 + 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.
-15 + 10w + -4w = 12 + 4w + -4w

Combine like terms: 10w + -4w = 6w
-15 + 6w = 12 + 4w + -4w

Combine like terms: 4w + -4w = 0
-15 + 6w = 12 + 0
-15 + 6w = 12

Add '15' to each side of the equation.
-15 + 15 + 6w = 12 + 15

Combine like terms: -15 + 15 = 0
0 + 6w = 12 + 15
6w = 12 + 15

Combine like terms: 12 + 15 = 27
6w = 27

Divide each side by '6'.
w = 4.5

Simplifying
w = 4.5

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