0.6x-0.3x+0.2+0.2w=4

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Solution for 0.6x-0.3x+0.2+0.2w=4 equation: 


Simplifying
0.6x + -0.3x + 0.2 + 0.2w = 4

Reorder the terms:
0.2 + 0.2w + 0.6x + -0.3x = 4

Combine like terms: 0.6x + -0.3x = 0.3x
0.2 + 0.2w + 0.3x = 4

Solving
0.2 + 0.2w + 0.3x = 4

Solving for variable 'w'.

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

Add '-0.2' to each side of the equation.
0.2 + 0.2w + -0.2 + 0.3x = 4 + -0.2

Reorder the terms:
0.2 + -0.2 + 0.2w + 0.3x = 4 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.2w + 0.3x = 4 + -0.2
0.2w + 0.3x = 4 + -0.2

Combine like terms: 4 + -0.2 = 3.8
0.2w + 0.3x = 3.8

Add '-0.3x' to each side of the equation.
0.2w + 0.3x + -0.3x = 3.8 + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
0.2w + 0.0 = 3.8 + -0.3x
0.2w = 3.8 + -0.3x

Divide each side by '0.2'.
w = 19 + -1.5x

Simplifying
w = 19 + -1.5x

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