0.25w-3.09=0.75w+8

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Solution for 0.25w-3.09=0.75w+8 equation: 


Simplifying
0.25w + -3.09 = 0.75w + 8

Reorder the terms:
-3.09 + 0.25w = 0.75w + 8

Reorder the terms:
-3.09 + 0.25w = 8 + 0.75w

Solving
-3.09 + 0.25w = 8 + 0.75w

Solving for variable 'w'.

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

Add '-0.75w' to each side of the equation.
-3.09 + 0.25w + -0.75w = 8 + 0.75w + -0.75w

Combine like terms: 0.25w + -0.75w = -0.5w
-3.09 + -0.5w = 8 + 0.75w + -0.75w

Combine like terms: 0.75w + -0.75w = 0.00
-3.09 + -0.5w = 8 + 0.00
-3.09 + -0.5w = 8

Add '3.09' to each side of the equation.
-3.09 + 3.09 + -0.5w = 8 + 3.09

Combine like terms: -3.09 + 3.09 = 0.00
0.00 + -0.5w = 8 + 3.09
-0.5w = 8 + 3.09

Combine like terms: 8 + 3.09 = 11.09
-0.5w = 11.09

Divide each side by '-0.5'.
w = -22.18

Simplifying
w = -22.18

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