(4+n)+(3n-7)i=8-2i

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Solution for (4+n)+(3n-7)i=8-2i equation: 


Simplifying
(4 + n) + (3n + -7) * i = 8 + -2i

Remove parenthesis around (4 + n)
4 + n + (3n + -7) * i = 8 + -2i

Reorder the terms:
4 + n + (-7 + 3n) * i = 8 + -2i

Reorder the terms for easier multiplication:
4 + n + i(-7 + 3n) = 8 + -2i
4 + n + (-7 * i + 3n * i) = 8 + -2i
4 + n + (-7i + 3in) = 8 + -2i

Reorder the terms:
4 + -7i + 3in + n = 8 + -2i

Solving
4 + -7i + 3in + n = 8 + -2i

Solving for variable 'i'.

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

Add '2i' to each side of the equation.
4 + -7i + 3in + 2i + n = 8 + -2i + 2i

Reorder the terms:
4 + -7i + 2i + 3in + n = 8 + -2i + 2i

Combine like terms: -7i + 2i = -5i
4 + -5i + 3in + n = 8 + -2i + 2i

Combine like terms: -2i + 2i = 0
4 + -5i + 3in + n = 8 + 0
4 + -5i + 3in + n = 8

Add '-4' to each side of the equation.
4 + -5i + 3in + -4 + n = 8 + -4

Reorder the terms:
4 + -4 + -5i + 3in + n = 8 + -4

Combine like terms: 4 + -4 = 0
0 + -5i + 3in + n = 8 + -4
-5i + 3in + n = 8 + -4

Combine like terms: 8 + -4 = 4
-5i + 3in + n = 4

Add '-1n' to each side of the equation.
-5i + 3in + n + -1n = 4 + -1n

Combine like terms: n + -1n = 0
-5i + 3in + 0 = 4 + -1n
-5i + 3in = 4 + -1n

Reorder the terms:
-4 + -5i + 3in + n = 4 + -1n + -4 + n

Reorder the terms:
-4 + -5i + 3in + n = 4 + -4 + -1n + n

Combine like terms: 4 + -4 = 0
-4 + -5i + 3in + n = 0 + -1n + n
-4 + -5i + 3in + n = -1n + n

Combine like terms: -1n + n = 0
-4 + -5i + 3in + n = 0

The solution to this equation could not be determined.

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