(4-2i)-(-1+3i)=

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Solution for (4-2i)-(-1+3i)= equation:


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

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

Reorder the terms:
4 + 1 + -2i + -3i = 0

Combine like terms: 4 + 1 = 5
5 + -2i + -3i = 0

Combine like terms: -2i + -3i = -5i
5 + -5i = 0

Solving
5 + -5i = 0

Solving for variable 'i'.

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

Add '-5' to each side of the equation.
5 + -5 + -5i = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -5i = 0 + -5
-5i = 0 + -5

Combine like terms: 0 + -5 = -5
-5i = -5

Divide each side by '-5'.
i = 1

Simplifying
i = 1

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