5.4w+8.2=9.8w-28

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Solution for 5.4w+8.2=9.8w-28 equation: 


Simplifying
5.4w + 8.2 = 9.8w + -28

Reorder the terms:
8.2 + 5.4w = 9.8w + -28

Reorder the terms:
8.2 + 5.4w = -28 + 9.8w

Solving
8.2 + 5.4w = -28 + 9.8w

Solving for variable 'w'.

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

Add '-9.8w' to each side of the equation.
8.2 + 5.4w + -9.8w = -28 + 9.8w + -9.8w

Combine like terms: 5.4w + -9.8w = -4.4w
8.2 + -4.4w = -28 + 9.8w + -9.8w

Combine like terms: 9.8w + -9.8w = 0.0
8.2 + -4.4w = -28 + 0.0
8.2 + -4.4w = -28

Add '-8.2' to each side of the equation.
8.2 + -8.2 + -4.4w = -28 + -8.2

Combine like terms: 8.2 + -8.2 = 0.0
0.0 + -4.4w = -28 + -8.2
-4.4w = -28 + -8.2

Combine like terms: -28 + -8.2 = -36.2
-4.4w = -36.2

Divide each side by '-4.4'.
w = 8.227272727

Simplifying
w = 8.227272727

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