8-4(2x-4n)=2dx+6-2x^2

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Solution for 8-4(2x-4n)=2dx+6-2x^2 equation: 


Simplifying
8 + -4(2x + -4n) = 2dx + 6 + -2x2

Reorder the terms:
8 + -4(-4n + 2x) = 2dx + 6 + -2x2
8 + (-4n * -4 + 2x * -4) = 2dx + 6 + -2x2
8 + (16n + -8x) = 2dx + 6 + -2x2

Reorder the terms:
8 + 16n + -8x = 6 + 2dx + -2x2

Solving
8 + 16n + -8x = 6 + 2dx + -2x2

Solving for variable 'n'.

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

Add '-8' to each side of the equation.
8 + 16n + -8 + -8x = 6 + 2dx + -8 + -2x2

Reorder the terms:
8 + -8 + 16n + -8x = 6 + 2dx + -8 + -2x2

Combine like terms: 8 + -8 = 0
0 + 16n + -8x = 6 + 2dx + -8 + -2x2
16n + -8x = 6 + 2dx + -8 + -2x2

Reorder the terms:
16n + -8x = 6 + -8 + 2dx + -2x2

Combine like terms: 6 + -8 = -2
16n + -8x = -2 + 2dx + -2x2

Add '8x' to each side of the equation.
16n + -8x + 8x = -2 + 2dx + 8x + -2x2

Combine like terms: -8x + 8x = 0
16n + 0 = -2 + 2dx + 8x + -2x2
16n = -2 + 2dx + 8x + -2x2

Divide each side by '16'.
n = -0.125 + 0.125dx + 0.5x + -0.125x2

Simplifying
n = -0.125 + 0.125dx + 0.5x + -0.125x2

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