3(m+ni)=n-2mi-(1-2i)

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Solution for 3(m+ni)=n-2mi-(1-2i) equation: 


Simplifying
3(m + ni) = n + -2mi + -1(1 + -2i)

Reorder the terms:
3(in + m) = n + -2mi + -1(1 + -2i)
(in * 3 + m * 3) = n + -2mi + -1(1 + -2i)
(3in + 3m) = n + -2mi + -1(1 + -2i)
3in + 3m = n + -2im + (1 * -1 + -2i * -1)
3in + 3m = n + -2im + (-1 + 2i)

Reorder the terms:
3in + 3m = -1 + 2i + -2im + n

Solving
3in + 3m = -1 + 2i + -2im + n

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.
3in + -2i + 3m = -1 + 2i + -2im + -2i + n

Reorder the terms:
-2i + 3in + 3m = -1 + 2i + -2im + -2i + n

Reorder the terms:
-2i + 3in + 3m = -1 + 2i + -2i + -2im + n

Combine like terms: 2i + -2i = 0
-2i + 3in + 3m = -1 + 0 + -2im + n
-2i + 3in + 3m = -1 + -2im + n

Add '2im' to each side of the equation.
-2i + 3in + 2im + 3m = -1 + -2im + 2im + n

Reorder the terms:
-2i + 2im + 3in + 3m = -1 + -2im + 2im + n

Combine like terms: -2im + 2im = 0
-2i + 2im + 3in + 3m = -1 + 0 + n
-2i + 2im + 3in + 3m = -1 + n

Add '-3m' to each side of the equation.
-2i + 2im + 3in + 3m + -3m = -1 + -3m + n

Combine like terms: 3m + -3m = 0
-2i + 2im + 3in + 0 = -1 + -3m + n
-2i + 2im + 3in = -1 + -3m + n

Reorder the terms:
1 + -2i + 2im + 3in + 3m + -1n = -1 + -3m + n + 1 + 3m + -1n

Reorder the terms:
1 + -2i + 2im + 3in + 3m + -1n = -1 + 1 + -3m + 3m + n + -1n

Combine like terms: -1 + 1 = 0
1 + -2i + 2im + 3in + 3m + -1n = 0 + -3m + 3m + n + -1n
1 + -2i + 2im + 3in + 3m + -1n = -3m + 3m + n + -1n

Combine like terms: -3m + 3m = 0
1 + -2i + 2im + 3in + 3m + -1n = 0 + n + -1n
1 + -2i + 2im + 3in + 3m + -1n = n + -1n

Combine like terms: n + -1n = 0
1 + -2i + 2im + 3in + 3m + -1n = 0

The solution to this equation could not be determined.

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