(2m+n)+(m-6n)*-i=7+i

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Solution for (2m+n)+(m-6n)*-i=7+i equation: 


Simplifying
(2m + n) + (m + -6n) * -1i = 7 + i

Remove parenthesis around (2m + n)
2m + n + (m + -6n) * -1i = 7 + i

Reorder the terms for easier multiplication:
2m + n + -1i(m + -6n) = 7 + i
2m + n + (m * -1i + -6n * -1i) = 7 + i
2m + n + (-1im + 6in) = 7 + i

Reorder the terms:
-1im + 6in + 2m + n = 7 + i

Solving
-1im + 6in + 2m + n = 7 + i

Solving for variable 'i'.

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

Add '-1i' to each side of the equation.
-1im + 6in + 2m + -1i + n = 7 + i + -1i

Reorder the terms:
-1i + -1im + 6in + 2m + n = 7 + i + -1i

Combine like terms: i + -1i = 0
-1i + -1im + 6in + 2m + n = 7 + 0
-1i + -1im + 6in + 2m + n = 7

Add '-2m' to each side of the equation.
-1i + -1im + 6in + 2m + -2m + n = 7 + -2m

Combine like terms: 2m + -2m = 0
-1i + -1im + 6in + 0 + n = 7 + -2m
-1i + -1im + 6in + n = 7 + -2m

Add '-1n' to each side of the equation.
-1i + -1im + 6in + n + -1n = 7 + -2m + -1n

Combine like terms: n + -1n = 0
-1i + -1im + 6in + 0 = 7 + -2m + -1n
-1i + -1im + 6in = 7 + -2m + -1n

Reorder the terms:
-7 + -1i + -1im + 6in + 2m + n = 7 + -2m + -1n + -7 + 2m + n

Reorder the terms:
-7 + -1i + -1im + 6in + 2m + n = 7 + -7 + -2m + 2m + -1n + n

Combine like terms: 7 + -7 = 0
-7 + -1i + -1im + 6in + 2m + n = 0 + -2m + 2m + -1n + n
-7 + -1i + -1im + 6in + 2m + n = -2m + 2m + -1n + n

Combine like terms: -2m + 2m = 0
-7 + -1i + -1im + 6in + 2m + n = 0 + -1n + n
-7 + -1i + -1im + 6in + 2m + n = -1n + n

Combine like terms: -1n + n = 0
-7 + -1i + -1im + 6in + 2m + n = 0

The solution to this equation could not be determined.

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