(6-i)-(9+7i)=

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Solution for (6-i)-(9+7i)= equation:


Simplifying
(6 + -1i) + -1(9 + 7i) = 0

Remove parenthesis around (6 + -1i)
6 + -1i + -1(9 + 7i) = 0
6 + -1i + (9 * -1 + 7i * -1) = 0
6 + -1i + (-9 + -7i) = 0

Reorder the terms:
6 + -9 + -1i + -7i = 0

Combine like terms: 6 + -9 = -3
-3 + -1i + -7i = 0

Combine like terms: -1i + -7i = -8i
-3 + -8i = 0

Solving
-3 + -8i = 0

Solving for variable 'i'.

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

Add '3' to each side of the equation.
-3 + 3 + -8i = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -8i = 0 + 3
-8i = 0 + 3

Combine like terms: 0 + 3 = 3
-8i = 3

Divide each side by '-8'.
i = -0.375

Simplifying
i = -0.375

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