3(2w-8)=6-4w

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Solution for 3(2w-8)=6-4w equation:


Simplifying
3(2w + -8) = 6 + -4w

Reorder the terms:
3(-8 + 2w) = 6 + -4w
(-8 * 3 + 2w * 3) = 6 + -4w
(-24 + 6w) = 6 + -4w

Solving
-24 + 6w = 6 + -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.
-24 + 6w + 4w = 6 + -4w + 4w

Combine like terms: 6w + 4w = 10w
-24 + 10w = 6 + -4w + 4w

Combine like terms: -4w + 4w = 0
-24 + 10w = 6 + 0
-24 + 10w = 6

Add '24' to each side of the equation.
-24 + 24 + 10w = 6 + 24

Combine like terms: -24 + 24 = 0
0 + 10w = 6 + 24
10w = 6 + 24

Combine like terms: 6 + 24 = 30
10w = 30

Divide each side by '10'.
w = 3

Simplifying
w = 3

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