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

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


Simplifying
2(8 + -1w) = 4(w + -3)
(8 * 2 + -1w * 2) = 4(w + -3)
(16 + -2w) = 4(w + -3)

Reorder the terms:
16 + -2w = 4(-3 + w)
16 + -2w = (-3 * 4 + w * 4)
16 + -2w = (-12 + 4w)

Solving
16 + -2w = -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.
16 + -2w + -4w = -12 + 4w + -4w

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

Combine like terms: 4w + -4w = 0
16 + -6w = -12 + 0
16 + -6w = -12

Add '-16' to each side of the equation.
16 + -16 + -6w = -12 + -16

Combine like terms: 16 + -16 = 0
0 + -6w = -12 + -16
-6w = -12 + -16

Combine like terms: -12 + -16 = -28
-6w = -28

Divide each side by '-6'.
w = 4.666666667

Simplifying
w = 4.666666667

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