(4-3i)+(2+6i)=

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Solution for (4-3i)+(2+6i)= equation:


Simplifying
(4 + -3i) + (2 + 6i) = 0

Remove parenthesis around (4 + -3i)
4 + -3i + (2 + 6i) = 0

Remove parenthesis around (2 + 6i)
4 + -3i + 2 + 6i = 0

Reorder the terms:
4 + 2 + -3i + 6i = 0

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

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

Solving
6 + 3i = 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 + 3i = 0 + -6

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

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

Divide each side by '3'.
i = -2

Simplifying
i = -2

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