14.2w-25.2=3.8w+26.8

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Solution for 14.2w-25.2=3.8w+26.8 equation: 


Simplifying
14.2w + -25.2 = 3.8w + 26.8

Reorder the terms:
-25.2 + 14.2w = 3.8w + 26.8

Reorder the terms:
-25.2 + 14.2w = 26.8 + 3.8w

Solving
-25.2 + 14.2w = 26.8 + 3.8w

Solving for variable 'w'.

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

Add '-3.8w' to each side of the equation.
-25.2 + 14.2w + -3.8w = 26.8 + 3.8w + -3.8w

Combine like terms: 14.2w + -3.8w = 10.4w
-25.2 + 10.4w = 26.8 + 3.8w + -3.8w

Combine like terms: 3.8w + -3.8w = 0.0
-25.2 + 10.4w = 26.8 + 0.0
-25.2 + 10.4w = 26.8

Add '25.2' to each side of the equation.
-25.2 + 25.2 + 10.4w = 26.8 + 25.2

Combine like terms: -25.2 + 25.2 = 0.0
0.0 + 10.4w = 26.8 + 25.2
10.4w = 26.8 + 25.2

Combine like terms: 26.8 + 25.2 = 52
10.4w = 52

Divide each side by '10.4'.
w = 5

Simplifying
w = 5

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