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

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


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

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

Combine like terms: 18 + -2 = 16
16 + -4w = 4w + -2(4 + 2)

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

Multiply -2 * 6
16 + -4w = 4w + -12

Reorder the terms:
16 + -4w = -12 + 4w

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

Combine like terms: -4w + -4w = -8w
16 + -8w = -12 + 4w + -4w

Combine like terms: 4w + -4w = 0
16 + -8w = -12 + 0
16 + -8w = -12

Add '-16' to each side of the equation.
16 + -16 + -8w = -12 + -16

Combine like terms: 16 + -16 = 0
0 + -8w = -12 + -16
-8w = -12 + -16

Combine like terms: -12 + -16 = -28
-8w = -28

Divide each side by '-8'.
w = 3.5

Simplifying
w = 3.5

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