6.7w-8.1=5.7w+1.9

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Solution for 6.7w-8.1=5.7w+1.9 equation: 


Simplifying
6.7w + -8.1 = 5.7w + 1.9

Reorder the terms:
-8.1 + 6.7w = 5.7w + 1.9

Reorder the terms:
-8.1 + 6.7w = 1.9 + 5.7w

Solving
-8.1 + 6.7w = 1.9 + 5.7w

Solving for variable 'w'.

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

Add '-5.7w' to each side of the equation.
-8.1 + 6.7w + -5.7w = 1.9 + 5.7w + -5.7w

Combine like terms: 6.7w + -5.7w = 1w
-8.1 + 1w = 1.9 + 5.7w + -5.7w

Combine like terms: 5.7w + -5.7w = 0.0
-8.1 + 1w = 1.9 + 0.0
-8.1 + 1w = 1.9

Add '8.1' to each side of the equation.
-8.1 + 8.1 + 1w = 1.9 + 8.1

Combine like terms: -8.1 + 8.1 = 0.0
0.0 + 1w = 1.9 + 8.1
1w = 1.9 + 8.1

Combine like terms: 1.9 + 8.1 = 10
1w = 10

Divide each side by '1'.
w = 10

Simplifying
w = 10

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