5w-8.2=4.4w-5.74

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Solution for 5w-8.2=4.4w-5.74 equation: 


Simplifying
5w + -8.2 = 4.4w + -5.74

Reorder the terms:
-8.2 + 5w = 4.4w + -5.74

Reorder the terms:
-8.2 + 5w = -5.74 + 4.4w

Solving
-8.2 + 5w = -5.74 + 4.4w

Solving for variable 'w'.

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

Add '-4.4w' to each side of the equation.
-8.2 + 5w + -4.4w = -5.74 + 4.4w + -4.4w

Combine like terms: 5w + -4.4w = 0.6w
-8.2 + 0.6w = -5.74 + 4.4w + -4.4w

Combine like terms: 4.4w + -4.4w = 0.0
-8.2 + 0.6w = -5.74 + 0.0
-8.2 + 0.6w = -5.74

Add '8.2' to each side of the equation.
-8.2 + 8.2 + 0.6w = -5.74 + 8.2

Combine like terms: -8.2 + 8.2 = 0.0
0.0 + 0.6w = -5.74 + 8.2
0.6w = -5.74 + 8.2

Combine like terms: -5.74 + 8.2 = 2.46
0.6w = 2.46

Divide each side by '0.6'.
w = 4.1

Simplifying
w = 4.1

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