(9-8i)-(-3+5i)=

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Solution for (9-8i)-(-3+5i)= equation:


Simplifying
(9 + -8i) + -1(-3 + 5i) = 0

Remove parenthesis around (9 + -8i)
9 + -8i + -1(-3 + 5i) = 0
9 + -8i + (-3 * -1 + 5i * -1) = 0
9 + -8i + (3 + -5i) = 0

Reorder the terms:
9 + 3 + -8i + -5i = 0

Combine like terms: 9 + 3 = 12
12 + -8i + -5i = 0

Combine like terms: -8i + -5i = -13i
12 + -13i = 0

Solving
12 + -13i = 0

Solving for variable 'i'.

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

Add '-12' to each side of the equation.
12 + -12 + -13i = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -13i = 0 + -12
-13i = 0 + -12

Combine like terms: 0 + -12 = -12
-13i = -12

Divide each side by '-13'.
i = 0.9230769231

Simplifying
i = 0.9230769231

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