28.50+w+8.57=104.75-w-6.50

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Solution for 28.50+w+8.57=104.75-w-6.50 equation: 


Simplifying
28.50 + w + 8.57 = 104.75 + -1w + -6.50

Reorder the terms:
28.50 + 8.57 + w = 104.75 + -1w + -6.50

Combine like terms: 28.50 + 8.57 = 37.07
37.07 + w = 104.75 + -1w + -6.50

Reorder the terms:
37.07 + w = 104.75 + -6.50 + -1w

Combine like terms: 104.75 + -6.50 = 98.25
37.07 + w = 98.25 + -1w

Solving
37.07 + w = 98.25 + -1w

Solving for variable 'w'.

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

Add 'w' to each side of the equation.
37.07 + w + w = 98.25 + -1w + w

Combine like terms: w + w = 2w
37.07 + 2w = 98.25 + -1w + w

Combine like terms: -1w + w = 0
37.07 + 2w = 98.25 + 0
37.07 + 2w = 98.25

Add '-37.07' to each side of the equation.
37.07 + -37.07 + 2w = 98.25 + -37.07

Combine like terms: 37.07 + -37.07 = 0.00
0.00 + 2w = 98.25 + -37.07
2w = 98.25 + -37.07

Combine like terms: 98.25 + -37.07 = 61.18
2w = 61.18

Divide each side by '2'.
w = 30.59

Simplifying
w = 30.59

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