0.4w-0.04+0.1w=0.5+w

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Solution for 0.4w-0.04+0.1w=0.5+w equation: 


Simplifying
0.4w + -0.04 + 0.1w = 0.5 + w

Reorder the terms:
-0.04 + 0.4w + 0.1w = 0.5 + w

Combine like terms: 0.4w + 0.1w = 0.5w
-0.04 + 0.5w = 0.5 + w

Solving
-0.04 + 0.5w = 0.5 + w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
-0.04 + 0.5w + -1w = 0.5 + w + -1w

Combine like terms: 0.5w + -1w = -0.5w
-0.04 + -0.5w = 0.5 + w + -1w

Combine like terms: w + -1w = 0
-0.04 + -0.5w = 0.5 + 0
-0.04 + -0.5w = 0.5

Add '0.04' to each side of the equation.
-0.04 + 0.04 + -0.5w = 0.5 + 0.04

Combine like terms: -0.04 + 0.04 = 0.00
0.00 + -0.5w = 0.5 + 0.04
-0.5w = 0.5 + 0.04

Combine like terms: 0.5 + 0.04 = 0.54
-0.5w = 0.54

Divide each side by '-0.5'.
w = -1.08

Simplifying
w = -1.08

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