12-4(2w-3)=7-(3-4w)

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Solution for 12-4(2w-3)=7-(3-4w) equation: 


Simplifying
12 + -4(2w + -3) = 7 + -1(3 + -4w)

Reorder the terms:
12 + -4(-3 + 2w) = 7 + -1(3 + -4w)
12 + (-3 * -4 + 2w * -4) = 7 + -1(3 + -4w)
12 + (12 + -8w) = 7 + -1(3 + -4w)

Combine like terms: 12 + 12 = 24
24 + -8w = 7 + -1(3 + -4w)
24 + -8w = 7 + (3 * -1 + -4w * -1)
24 + -8w = 7 + (-3 + 4w)

Combine like terms: 7 + -3 = 4
24 + -8w = 4 + 4w

Solving
24 + -8w = 4 + 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 + -8w + -4w = 4 + 4w + -4w

Combine like terms: -8w + -4w = -12w
24 + -12w = 4 + 4w + -4w

Combine like terms: 4w + -4w = 0
24 + -12w = 4 + 0
24 + -12w = 4

Add '-24' to each side of the equation.
24 + -24 + -12w = 4 + -24

Combine like terms: 24 + -24 = 0
0 + -12w = 4 + -24
-12w = 4 + -24

Combine like terms: 4 + -24 = -20
-12w = -20

Divide each side by '-12'.
w = 1.666666667

Simplifying
w = 1.666666667

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