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

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


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

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

Reorder the terms:
4 + 2w = 2(-8 + 3w)
4 + 2w = (-8 * 2 + 3w * 2)
4 + 2w = (-16 + 6w)

Solving
4 + 2w = -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 + 2w + -6w = -16 + 6w + -6w

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

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

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

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

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

Divide each side by '-4'.
w = 5

Simplifying
w = 5

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