18-2(2w-1)=4w-2(4+w)

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Solution for 18-2(2w-1)=4w-2(4+w) equation:


Simplifying
18 + -2(2w + -1) = 4w + -2(4 + w)

Reorder the terms:
18 + -2(-1 + 2w) = 4w + -2(4 + w)
18 + (-1 * -2 + 2w * -2) = 4w + -2(4 + w)
18 + (2 + -4w) = 4w + -2(4 + w)

Combine like terms: 18 + 2 = 20
20 + -4w = 4w + -2(4 + w)
20 + -4w = 4w + (4 * -2 + w * -2)
20 + -4w = 4w + (-8 + -2w)

Reorder the terms:
20 + -4w = -8 + 4w + -2w

Combine like terms: 4w + -2w = 2w
20 + -4w = -8 + 2w

Solving
20 + -4w = -8 + 2w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-2w' to each side of the equation.
20 + -4w + -2w = -8 + 2w + -2w

Combine like terms: -4w + -2w = -6w
20 + -6w = -8 + 2w + -2w

Combine like terms: 2w + -2w = 0
20 + -6w = -8 + 0
20 + -6w = -8

Add '-20' to each side of the equation.
20 + -20 + -6w = -8 + -20

Combine like terms: 20 + -20 = 0
0 + -6w = -8 + -20
-6w = -8 + -20

Combine like terms: -8 + -20 = -28
-6w = -28

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

Simplifying
w = 4.666666667

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