(8-5i)-(-3+I)=

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Solution for (8-5i)-(-3+I)= equation:


Simplifying
(8 + -5i) + -1(-3 + I) = 0

Remove parenthesis around (8 + -5i)
8 + -5i + -1(-3 + I) = 0
8 + -5i + (-3 * -1 + I * -1) = 0
8 + -5i + (3 + -1I) = 0

Reorder the terms:
8 + 3 + -1I + -5i = 0

Combine like terms: 8 + 3 = 11
11 + -1I + -5i = 0

Solving
11 + -1I + -5i = 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 + -1I + -11 + -5i = 0 + -11

Reorder the terms:
11 + -11 + -1I + -5i = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1I + -5i = 0 + -11
-1I + -5i = 0 + -11

Combine like terms: 0 + -11 = -11
-1I + -5i = -11

Add '5i' to each side of the equation.
-1I + -5i + 5i = -11 + 5i

Combine like terms: -5i + 5i = 0
-1I + 0 = -11 + 5i
-1I = -11 + 5i

Divide each side by '-1'.
I = 11 + -5i

Simplifying
I = 11 + -5i

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