(8i-14)+(2i-6)=

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Solution for (8i-14)+(2i-6)= equation:


Simplifying
(8i + -14) + (2i + -6) = 0

Reorder the terms:
(-14 + 8i) + (2i + -6) = 0

Remove parenthesis around (-14 + 8i)
-14 + 8i + (2i + -6) = 0

Reorder the terms:
-14 + 8i + (-6 + 2i) = 0

Remove parenthesis around (-6 + 2i)
-14 + 8i + -6 + 2i = 0

Reorder the terms:
-14 + -6 + 8i + 2i = 0

Combine like terms: -14 + -6 = -20
-20 + 8i + 2i = 0

Combine like terms: 8i + 2i = 10i
-20 + 10i = 0

Solving
-20 + 10i = 0

Solving for variable 'i'.

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

Add '20' to each side of the equation.
-20 + 20 + 10i = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 10i = 0 + 20
10i = 0 + 20

Combine like terms: 0 + 20 = 20
10i = 20

Divide each side by '10'.
i = 2

Simplifying
i = 2

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