(3-n)+(7m-14)i=1+7i

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Solution for (3-n)+(7m-14)i=1+7i equation:


Simplifying
(3 + -1n) + (7m + -14) * i = 1 + 7i

Remove parenthesis around (3 + -1n)
3 + -1n + (7m + -14) * i = 1 + 7i

Reorder the terms:
3 + -1n + (-14 + 7m) * i = 1 + 7i

Reorder the terms for easier multiplication:
3 + -1n + i(-14 + 7m) = 1 + 7i
3 + -1n + (-14 * i + 7m * i) = 1 + 7i
3 + -1n + (-14i + 7im) = 1 + 7i

Reorder the terms:
3 + -14i + 7im + -1n = 1 + 7i

Solving
3 + -14i + 7im + -1n = 1 + 7i

Solving for variable 'i'.

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

Add '-7i' to each side of the equation.
3 + -14i + 7im + -7i + -1n = 1 + 7i + -7i

Reorder the terms:
3 + -14i + -7i + 7im + -1n = 1 + 7i + -7i

Combine like terms: -14i + -7i = -21i
3 + -21i + 7im + -1n = 1 + 7i + -7i

Combine like terms: 7i + -7i = 0
3 + -21i + 7im + -1n = 1 + 0
3 + -21i + 7im + -1n = 1

Add '-3' to each side of the equation.
3 + -21i + 7im + -3 + -1n = 1 + -3

Reorder the terms:
3 + -3 + -21i + 7im + -1n = 1 + -3

Combine like terms: 3 + -3 = 0
0 + -21i + 7im + -1n = 1 + -3
-21i + 7im + -1n = 1 + -3

Combine like terms: 1 + -3 = -2
-21i + 7im + -1n = -2

Add 'n' to each side of the equation.
-21i + 7im + -1n + n = -2 + n

Combine like terms: -1n + n = 0
-21i + 7im + 0 = -2 + n
-21i + 7im = -2 + n

Reorder the terms:
2 + -21i + 7im + -1n = -2 + n + 2 + -1n

Reorder the terms:
2 + -21i + 7im + -1n = -2 + 2 + n + -1n

Combine like terms: -2 + 2 = 0
2 + -21i + 7im + -1n = 0 + n + -1n
2 + -21i + 7im + -1n = n + -1n

Combine like terms: n + -1n = 0
2 + -21i + 7im + -1n = 0

The solution to this equation could not be determined.

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