18-2(2w+1)=10w-2(10-w)

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Solution for 18-2(2w+1)=10w-2(10-w) equation: 


Simplifying
18 + -2(2w + 1) = 10w + -2(10 + -1w)

Reorder the terms:
18 + -2(1 + 2w) = 10w + -2(10 + -1w)
18 + (1 * -2 + 2w * -2) = 10w + -2(10 + -1w)
18 + (-2 + -4w) = 10w + -2(10 + -1w)

Combine like terms: 18 + -2 = 16
16 + -4w = 10w + -2(10 + -1w)
16 + -4w = 10w + (10 * -2 + -1w * -2)
16 + -4w = 10w + (-20 + 2w)

Reorder the terms:
16 + -4w = -20 + 10w + 2w

Combine like terms: 10w + 2w = 12w
16 + -4w = -20 + 12w

Solving
16 + -4w = -20 + 12w

Solving for variable 'w'.

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

Add '-12w' to each side of the equation.
16 + -4w + -12w = -20 + 12w + -12w

Combine like terms: -4w + -12w = -16w
16 + -16w = -20 + 12w + -12w

Combine like terms: 12w + -12w = 0
16 + -16w = -20 + 0
16 + -16w = -20

Add '-16' to each side of the equation.
16 + -16 + -16w = -20 + -16

Combine like terms: 16 + -16 = 0
0 + -16w = -20 + -16
-16w = -20 + -16

Combine like terms: -20 + -16 = -36
-16w = -36

Divide each side by '-16'.
w = 2.25

Simplifying
w = 2.25

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