100(0.4)=(0.9)D+(0.1)W

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Solution for 100(0.4)=(0.9)D+(0.1)W equation: 


Simplifying
100(0.4) = (0.9) * D + (0.1) * W

Multiply 100 * 0.4
40 = (0.9) * D + (0.1) * W

Solving
40 = 0.9D + 0.1W

Solving for variable 'D'.

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

Add '-0.9D' to each side of the equation.
40 + -0.9D = 0.9D + -0.9D + 0.1W

Combine like terms: 0.9D + -0.9D = 0.0
40 + -0.9D = 0.0 + 0.1W
40 + -0.9D = 0.1W

Add '-40' to each side of the equation.
40 + -40 + -0.9D = -40 + 0.1W

Combine like terms: 40 + -40 = 0
0 + -0.9D = -40 + 0.1W
-0.9D = -40 + 0.1W

Divide each side by '-0.9'.
D = 44.44444444 + -0.1111111111W

Simplifying
D = 44.44444444 + -0.1111111111W

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