(3+7i)-(1-3i)=

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Solution for (3+7i)-(1-3i)= equation:


Simplifying
(3 + 7i) + -1(1 + -3i) = 0

Remove parenthesis around (3 + 7i)
3 + 7i + -1(1 + -3i) = 0
3 + 7i + (1 * -1 + -3i * -1) = 0
3 + 7i + (-1 + 3i) = 0

Reorder the terms:
3 + -1 + 7i + 3i = 0

Combine like terms: 3 + -1 = 2
2 + 7i + 3i = 0

Combine like terms: 7i + 3i = 10i
2 + 10i = 0

Solving
2 + 10i = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + -2 + 10i = 0 + -2

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

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

Divide each side by '10'.
i = -0.2

Simplifying
i = -0.2

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