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

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


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

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

Combine like terms: 18 + -2 = 16
16 + -4w = 4w + -1(4 + w)
16 + -4w = 4w + (4 * -1 + w * -1)
16 + -4w = 4w + (-4 + -1w)

Reorder the terms:
16 + -4w = -4 + 4w + -1w

Combine like terms: 4w + -1w = 3w
16 + -4w = -4 + 3w

Solving
16 + -4w = -4 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
16 + -4w + -3w = -4 + 3w + -3w

Combine like terms: -4w + -3w = -7w
16 + -7w = -4 + 3w + -3w

Combine like terms: 3w + -3w = 0
16 + -7w = -4 + 0
16 + -7w = -4

Add '-16' to each side of the equation.
16 + -16 + -7w = -4 + -16

Combine like terms: 16 + -16 = 0
0 + -7w = -4 + -16
-7w = -4 + -16

Combine like terms: -4 + -16 = -20
-7w = -20

Divide each side by '-7'.
w = 2.857142857

Simplifying
w = 2.857142857

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