1-3(2w-4)=4(6-w)-8

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Solution for 1-3(2w-4)=4(6-w)-8 equation: 


Simplifying
1 + -3(2w + -4) = 4(6 + -1w) + -8

Reorder the terms:
1 + -3(-4 + 2w) = 4(6 + -1w) + -8
1 + (-4 * -3 + 2w * -3) = 4(6 + -1w) + -8
1 + (12 + -6w) = 4(6 + -1w) + -8

Combine like terms: 1 + 12 = 13
13 + -6w = 4(6 + -1w) + -8
13 + -6w = (6 * 4 + -1w * 4) + -8
13 + -6w = (24 + -4w) + -8

Reorder the terms:
13 + -6w = 24 + -8 + -4w

Combine like terms: 24 + -8 = 16
13 + -6w = 16 + -4w

Solving
13 + -6w = 16 + -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.
13 + -6w + 4w = 16 + -4w + 4w

Combine like terms: -6w + 4w = -2w
13 + -2w = 16 + -4w + 4w

Combine like terms: -4w + 4w = 0
13 + -2w = 16 + 0
13 + -2w = 16

Add '-13' to each side of the equation.
13 + -13 + -2w = 16 + -13

Combine like terms: 13 + -13 = 0
0 + -2w = 16 + -13
-2w = 16 + -13

Combine like terms: 16 + -13 = 3
-2w = 3

Divide each side by '-2'.
w = -1.5

Simplifying
w = -1.5

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