0.1(w+0.5)+0.2w=(w-0.4)

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Solution for 0.1(w+0.5)+0.2w=(w-0.4) equation: 


Simplifying
0.1(w + 0.5) + 0.2w = (w + -0.4)

Reorder the terms:
0.1(0.5 + w) + 0.2w = (w + -0.4)
(0.5 * 0.1 + w * 0.1) + 0.2w = (w + -0.4)
(0.05 + 0.1w) + 0.2w = (w + -0.4)

Combine like terms: 0.1w + 0.2w = 0.3w
0.05 + 0.3w = (w + -0.4)

Reorder the terms:
0.05 + 0.3w = (-0.4 + w)

Remove parenthesis around (-0.4 + w)
0.05 + 0.3w = -0.4 + w

Solving
0.05 + 0.3w = -0.4 + 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.
0.05 + 0.3w + -1w = -0.4 + w + -1w

Combine like terms: 0.3w + -1w = -0.7w
0.05 + -0.7w = -0.4 + w + -1w

Combine like terms: w + -1w = 0
0.05 + -0.7w = -0.4 + 0
0.05 + -0.7w = -0.4

Add '-0.05' to each side of the equation.
0.05 + -0.05 + -0.7w = -0.4 + -0.05

Combine like terms: 0.05 + -0.05 = 0.00
0.00 + -0.7w = -0.4 + -0.05
-0.7w = -0.4 + -0.05

Combine like terms: -0.4 + -0.05 = -0.45
-0.7w = -0.45

Divide each side by '-0.7'.
w = 0.6428571429

Simplifying
w = 0.6428571429

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