5.4w+8.2=9.2w-2.8

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Solution for 5.4w+8.2=9.2w-2.8 equation: 


Simplifying
5.4w + 8.2 = 9.2w + -2.8

Reorder the terms:
8.2 + 5.4w = 9.2w + -2.8

Reorder the terms:
8.2 + 5.4w = -2.8 + 9.2w

Solving
8.2 + 5.4w = -2.8 + 9.2w

Solving for variable 'w'.

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

Add '-9.2w' to each side of the equation.
8.2 + 5.4w + -9.2w = -2.8 + 9.2w + -9.2w

Combine like terms: 5.4w + -9.2w = -3.8w
8.2 + -3.8w = -2.8 + 9.2w + -9.2w

Combine like terms: 9.2w + -9.2w = 0.0
8.2 + -3.8w = -2.8 + 0.0
8.2 + -3.8w = -2.8

Add '-8.2' to each side of the equation.
8.2 + -8.2 + -3.8w = -2.8 + -8.2

Combine like terms: 8.2 + -8.2 = 0.0
0.0 + -3.8w = -2.8 + -8.2
-3.8w = -2.8 + -8.2

Combine like terms: -2.8 + -8.2 = -11
-3.8w = -11

Divide each side by '-3.8'.
w = 2.894736842

Simplifying
w = 2.894736842

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