(3+3i)-(-8-i)=

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Solution for (3+3i)-(-8-i)= equation:


Simplifying
(3 + 3i) + -1(-8 + -1i) = 0

Remove parenthesis around (3 + 3i)
3 + 3i + -1(-8 + -1i) = 0
3 + 3i + (-8 * -1 + -1i * -1) = 0
3 + 3i + (8 + 1i) = 0

Reorder the terms:
3 + 8 + 3i + 1i = 0

Combine like terms: 3 + 8 = 11
11 + 3i + 1i = 0

Combine like terms: 3i + 1i = 4i
11 + 4i = 0

Solving
11 + 4i = 0

Solving for variable 'i'.

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

Add '-11' to each side of the equation.
11 + -11 + 4i = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 4i = 0 + -11
4i = 0 + -11

Combine like terms: 0 + -11 = -11
4i = -11

Divide each side by '4'.
i = -2.75

Simplifying
i = -2.75

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