0.4-9.2w=-5.15-1.6w-3.9

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Solution for 0.4-9.2w=-5.15-1.6w-3.9 equation: 


Simplifying
0.4 + -9.2w = -5.15 + -1.6w + -3.9

Reorder the terms:
0.4 + -9.2w = -5.15 + -3.9 + -1.6w

Combine like terms: -5.15 + -3.9 = -9.05
0.4 + -9.2w = -9.05 + -1.6w

Solving
0.4 + -9.2w = -9.05 + -1.6w

Solving for variable 'w'.

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

Add '1.6w' to each side of the equation.
0.4 + -9.2w + 1.6w = -9.05 + -1.6w + 1.6w

Combine like terms: -9.2w + 1.6w = -7.6w
0.4 + -7.6w = -9.05 + -1.6w + 1.6w

Combine like terms: -1.6w + 1.6w = 0.0
0.4 + -7.6w = -9.05 + 0.0
0.4 + -7.6w = -9.05

Add '-0.4' to each side of the equation.
0.4 + -0.4 + -7.6w = -9.05 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -7.6w = -9.05 + -0.4
-7.6w = -9.05 + -0.4

Combine like terms: -9.05 + -0.4 = -9.45
-7.6w = -9.45

Divide each side by '-7.6'.
w = 1.243421053

Simplifying
w = 1.243421053

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