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

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

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

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

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

Reorder the terms:
3 + -14i + 7in + -1m = 1 + 7i

Solving
3 + -14i + 7in + -1m = 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 + 7in + -7i + -1m = 1 + 7i + -7i

Reorder the terms:
3 + -14i + -7i + 7in + -1m = 1 + 7i + -7i

Combine like terms: -14i + -7i = -21i
3 + -21i + 7in + -1m = 1 + 7i + -7i

Combine like terms: 7i + -7i = 0
3 + -21i + 7in + -1m = 1 + 0
3 + -21i + 7in + -1m = 1

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

Reorder the terms:
3 + -3 + -21i + 7in + -1m = 1 + -3

Combine like terms: 3 + -3 = 0
0 + -21i + 7in + -1m = 1 + -3
-21i + 7in + -1m = 1 + -3

Combine like terms: 1 + -3 = -2
-21i + 7in + -1m = -2

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

Combine like terms: -1m + m = 0
-21i + 7in + 0 = -2 + m
-21i + 7in = -2 + m

Reorder the terms:
2 + -21i + 7in + -1m = -2 + m + 2 + -1m

Reorder the terms:
2 + -21i + 7in + -1m = -2 + 2 + m + -1m

Combine like terms: -2 + 2 = 0
2 + -21i + 7in + -1m = 0 + m + -1m
2 + -21i + 7in + -1m = m + -1m

Combine like terms: m + -1m = 0
2 + -21i + 7in + -1m = 0

The solution to this equation could not be determined.