(2-4i)-(4+4i)-(-6+i)=

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Solution for (2-4i)-(4+4i)-(-6+i)= equation:


Simplifying
(2 + -4i) + -1(4 + 4i) + -1(-6 + i) = 0

Remove parenthesis around (2 + -4i)
2 + -4i + -1(4 + 4i) + -1(-6 + i) = 0
2 + -4i + (4 * -1 + 4i * -1) + -1(-6 + i) = 0
2 + -4i + (-4 + -4i) + -1(-6 + i) = 0
2 + -4i + -4 + -4i + (-6 * -1 + i * -1) = 0
2 + -4i + -4 + -4i + (6 + -1i) = 0

Reorder the terms:
2 + -4 + 6 + -4i + -4i + -1i = 0

Combine like terms: 2 + -4 = -2
-2 + 6 + -4i + -4i + -1i = 0

Combine like terms: -2 + 6 = 4
4 + -4i + -4i + -1i = 0

Combine like terms: -4i + -4i = -8i
4 + -8i + -1i = 0

Combine like terms: -8i + -1i = -9i
4 + -9i = 0

Solving
4 + -9i = 0

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + -4 + -9i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9i = 0 + -4
-9i = 0 + -4

Combine like terms: 0 + -4 = -4
-9i = -4

Divide each side by '-9'.
i = 0.4444444444

Simplifying
i = 0.4444444444

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