(7+n)+(4m-10)i=3-6i

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Solution for (7+n)+(4m-10)i=3-6i equation: 


Simplifying
(7 + n) + (4m + -10) * i = 3 + -6i

Remove parenthesis around (7 + n)
7 + n + (4m + -10) * i = 3 + -6i

Reorder the terms:
7 + n + (-10 + 4m) * i = 3 + -6i

Reorder the terms for easier multiplication:
7 + n + i(-10 + 4m) = 3 + -6i
7 + n + (-10 * i + 4m * i) = 3 + -6i
7 + n + (-10i + 4im) = 3 + -6i

Reorder the terms:
7 + -10i + 4im + n = 3 + -6i

Solving
7 + -10i + 4im + n = 3 + -6i

Solving for variable 'i'.

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

Add '6i' to each side of the equation.
7 + -10i + 4im + 6i + n = 3 + -6i + 6i

Reorder the terms:
7 + -10i + 6i + 4im + n = 3 + -6i + 6i

Combine like terms: -10i + 6i = -4i
7 + -4i + 4im + n = 3 + -6i + 6i

Combine like terms: -6i + 6i = 0
7 + -4i + 4im + n = 3 + 0
7 + -4i + 4im + n = 3

Add '-7' to each side of the equation.
7 + -4i + 4im + -7 + n = 3 + -7

Reorder the terms:
7 + -7 + -4i + 4im + n = 3 + -7

Combine like terms: 7 + -7 = 0
0 + -4i + 4im + n = 3 + -7
-4i + 4im + n = 3 + -7

Combine like terms: 3 + -7 = -4
-4i + 4im + n = -4

Add '-1n' to each side of the equation.
-4i + 4im + n + -1n = -4 + -1n

Combine like terms: n + -1n = 0
-4i + 4im + 0 = -4 + -1n
-4i + 4im = -4 + -1n

Reorder the terms:
4 + -4i + 4im + n = -4 + -1n + 4 + n

Reorder the terms:
4 + -4i + 4im + n = -4 + 4 + -1n + n

Combine like terms: -4 + 4 = 0
4 + -4i + 4im + n = 0 + -1n + n
4 + -4i + 4im + n = -1n + n

Combine like terms: -1n + n = 0
4 + -4i + 4im + n = 0

The solution to this equation could not be determined.

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