2m-n+(5m-6n)i=-8-13i

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Solution for 2m-n+(5m-6n)i=-8-13i equation: 


Simplifying
2m + -1n + (5m + -6n) * i = -8 + -13i

Reorder the terms for easier multiplication:
2m + -1n + i(5m + -6n) = -8 + -13i
2m + -1n + (5m * i + -6n * i) = -8 + -13i
2m + -1n + (5im + -6in) = -8 + -13i

Reorder the terms:
5im + -6in + 2m + -1n = -8 + -13i

Solving
5im + -6in + 2m + -1n = -8 + -13i

Solving for variable 'i'.

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

Add '13i' to each side of the equation.
5im + -6in + 2m + 13i + -1n = -8 + -13i + 13i

Reorder the terms:
13i + 5im + -6in + 2m + -1n = -8 + -13i + 13i

Combine like terms: -13i + 13i = 0
13i + 5im + -6in + 2m + -1n = -8 + 0
13i + 5im + -6in + 2m + -1n = -8

Add '-2m' to each side of the equation.
13i + 5im + -6in + 2m + -2m + -1n = -8 + -2m

Combine like terms: 2m + -2m = 0
13i + 5im + -6in + 0 + -1n = -8 + -2m
13i + 5im + -6in + -1n = -8 + -2m

Add 'n' to each side of the equation.
13i + 5im + -6in + -1n + n = -8 + -2m + n

Combine like terms: -1n + n = 0
13i + 5im + -6in + 0 = -8 + -2m + n
13i + 5im + -6in = -8 + -2m + n

Reorder the terms:
8 + 13i + 5im + -6in + 2m + -1n = -8 + -2m + n + 8 + 2m + -1n

Reorder the terms:
8 + 13i + 5im + -6in + 2m + -1n = -8 + 8 + -2m + 2m + n + -1n

Combine like terms: -8 + 8 = 0
8 + 13i + 5im + -6in + 2m + -1n = 0 + -2m + 2m + n + -1n
8 + 13i + 5im + -6in + 2m + -1n = -2m + 2m + n + -1n

Combine like terms: -2m + 2m = 0
8 + 13i + 5im + -6in + 2m + -1n = 0 + n + -1n
8 + 13i + 5im + -6in + 2m + -1n = n + -1n

Combine like terms: n + -1n = 0
8 + 13i + 5im + -6in + 2m + -1n = 0

The solution to this equation could not be determined.

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