20-4(2w+1)=9w-4(9+w)

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Solution for 20-4(2w+1)=9w-4(9+w) equation: 


Simplifying
20 + -4(2w + 1) = 9w + -4(9 + w)

Reorder the terms:
20 + -4(1 + 2w) = 9w + -4(9 + w)
20 + (1 * -4 + 2w * -4) = 9w + -4(9 + w)
20 + (-4 + -8w) = 9w + -4(9 + w)

Combine like terms: 20 + -4 = 16
16 + -8w = 9w + -4(9 + w)
16 + -8w = 9w + (9 * -4 + w * -4)
16 + -8w = 9w + (-36 + -4w)

Reorder the terms:
16 + -8w = -36 + 9w + -4w

Combine like terms: 9w + -4w = 5w
16 + -8w = -36 + 5w

Solving
16 + -8w = -36 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
16 + -8w + -5w = -36 + 5w + -5w

Combine like terms: -8w + -5w = -13w
16 + -13w = -36 + 5w + -5w

Combine like terms: 5w + -5w = 0
16 + -13w = -36 + 0
16 + -13w = -36

Add '-16' to each side of the equation.
16 + -16 + -13w = -36 + -16

Combine like terms: 16 + -16 = 0
0 + -13w = -36 + -16
-13w = -36 + -16

Combine like terms: -36 + -16 = -52
-13w = -52

Divide each side by '-13'.
w = 4

Simplifying
w = 4

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