(10w-40)=(4w+16)+4w

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Solution for (10w-40)=(4w+16)+4w equation:


Simplifying
(10w + -40) = (4w + 16) + 4w

Reorder the terms:
(-40 + 10w) = (4w + 16) + 4w

Remove parenthesis around (-40 + 10w)
-40 + 10w = (4w + 16) + 4w

Reorder the terms:
-40 + 10w = (16 + 4w) + 4w

Remove parenthesis around (16 + 4w)
-40 + 10w = 16 + 4w + 4w

Combine like terms: 4w + 4w = 8w
-40 + 10w = 16 + 8w

Solving
-40 + 10w = 16 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
-40 + 10w + -8w = 16 + 8w + -8w

Combine like terms: 10w + -8w = 2w
-40 + 2w = 16 + 8w + -8w

Combine like terms: 8w + -8w = 0
-40 + 2w = 16 + 0
-40 + 2w = 16

Add '40' to each side of the equation.
-40 + 40 + 2w = 16 + 40

Combine like terms: -40 + 40 = 0
0 + 2w = 16 + 40
2w = 16 + 40

Combine like terms: 16 + 40 = 56
2w = 56

Divide each side by '2'.
w = 28

Simplifying
w = 28

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