(-4-3i)-(2-9i)=

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Solution for (-4-3i)-(2-9i)= equation:


Simplifying
(-4 + -3i) + -1(2 + -9i) = 0

Remove parenthesis around (-4 + -3i)
-4 + -3i + -1(2 + -9i) = 0
-4 + -3i + (2 * -1 + -9i * -1) = 0
-4 + -3i + (-2 + 9i) = 0

Reorder the terms:
-4 + -2 + -3i + 9i = 0

Combine like terms: -4 + -2 = -6
-6 + -3i + 9i = 0

Combine like terms: -3i + 9i = 6i
-6 + 6i = 0

Solving
-6 + 6i = 0

Solving for variable 'i'.

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

Add '6' to each side of the equation.
-6 + 6 + 6i = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 6i = 0 + 6
6i = 0 + 6

Combine like terms: 0 + 6 = 6
6i = 6

Divide each side by '6'.
i = 1

Simplifying
i = 1

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