(12-7m)+(4-n)i=-9(34+4n)i

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Solution for (12-7m)+(4-n)i=-9(34+4n)i equation: 


Simplifying
(12 + -7m) + (4 + -1n) * i = -9(34 + 4n) * i

Remove parenthesis around (12 + -7m)
12 + -7m + (4 + -1n) * i = -9(34 + 4n) * i

Reorder the terms for easier multiplication:
12 + -7m + i(4 + -1n) = -9(34 + 4n) * i
12 + -7m + (4 * i + -1n * i) = -9(34 + 4n) * i
12 + -7m + (4i + -1in) = -9(34 + 4n) * i

Reorder the terms:
12 + 4i + -1in + -7m = -9(34 + 4n) * i

Reorder the terms for easier multiplication:
12 + 4i + -1in + -7m = -9i(34 + 4n)
12 + 4i + -1in + -7m = (34 * -9i + 4n * -9i)
12 + 4i + -1in + -7m = (-306i + -36in)

Solving
12 + 4i + -1in + -7m = -306i + -36in

Solving for variable 'i'.

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

Add '306i' to each side of the equation.
12 + 4i + -1in + 306i + -7m = -306i + 306i + -36in

Reorder the terms:
12 + 4i + 306i + -1in + -7m = -306i + 306i + -36in

Combine like terms: 4i + 306i = 310i
12 + 310i + -1in + -7m = -306i + 306i + -36in

Combine like terms: -306i + 306i = 0
12 + 310i + -1in + -7m = 0 + -36in
12 + 310i + -1in + -7m = -36in

Add '36in' to each side of the equation.
12 + 310i + -1in + 36in + -7m = -36in + 36in

Combine like terms: -1in + 36in = 35in
12 + 310i + 35in + -7m = -36in + 36in

Combine like terms: -36in + 36in = 0
12 + 310i + 35in + -7m = 0

Add '-12' to each side of the equation.
12 + 310i + 35in + -12 + -7m = 0 + -12

Reorder the terms:
12 + -12 + 310i + 35in + -7m = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 310i + 35in + -7m = 0 + -12
310i + 35in + -7m = 0 + -12

Combine like terms: 0 + -12 = -12
310i + 35in + -7m = -12

Add '7m' to each side of the equation.
310i + 35in + -7m + 7m = -12 + 7m

Combine like terms: -7m + 7m = 0
310i + 35in + 0 = -12 + 7m
310i + 35in = -12 + 7m

Reorder the terms:
12 + 310i + 35in + -7m = -12 + 7m + 12 + -7m

Reorder the terms:
12 + 310i + 35in + -7m = -12 + 12 + 7m + -7m

Combine like terms: -12 + 12 = 0
12 + 310i + 35in + -7m = 0 + 7m + -7m
12 + 310i + 35in + -7m = 7m + -7m

Combine like terms: 7m + -7m = 0
12 + 310i + 35in + -7m = 0

The solution to this equation could not be determined.

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