(6-m)+3ni=(-12)+27i

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Solution for (6-m)+3ni=(-12)+27i equation:


Simplifying
(6 + -1m) + 3ni = (-12) + 27i

Remove parenthesis around (6 + -1m)
6 + -1m + 3ni = (-12) + 27i

Reorder the terms:
6 + 3in + -1m = (-12) + 27i
6 + 3in + -1m = -12 + 27i

Solving
6 + 3in + -1m = -12 + 27i

Solving for variable 'i'.

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

Add '-27i' to each side of the equation.
6 + 3in + -27i + -1m = -12 + 27i + -27i

Reorder the terms:
6 + -27i + 3in + -1m = -12 + 27i + -27i

Combine like terms: 27i + -27i = 0
6 + -27i + 3in + -1m = -12 + 0
6 + -27i + 3in + -1m = -12

Add '-6' to each side of the equation.
6 + -27i + 3in + -6 + -1m = -12 + -6

Reorder the terms:
6 + -6 + -27i + 3in + -1m = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -27i + 3in + -1m = -12 + -6
-27i + 3in + -1m = -12 + -6

Combine like terms: -12 + -6 = -18
-27i + 3in + -1m = -18

Add 'm' to each side of the equation.
-27i + 3in + -1m + m = -18 + m

Combine like terms: -1m + m = 0
-27i + 3in + 0 = -18 + m
-27i + 3in = -18 + m

Reorder the terms:
18 + -27i + 3in + -1m = -18 + m + 18 + -1m

Reorder the terms:
18 + -27i + 3in + -1m = -18 + 18 + m + -1m

Combine like terms: -18 + 18 = 0
18 + -27i + 3in + -1m = 0 + m + -1m
18 + -27i + 3in + -1m = m + -1m

Combine like terms: m + -1m = 0
18 + -27i + 3in + -1m = 0

The solution to this equation could not be determined.

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