2m+(3n+1)i=6-8i

Solution for 2m+(3n+1)i=6-8i equation:

Simplifying
2m + (3n + 1) * i = 6 + -8i

Reorder the terms:
2m + (1 + 3n) * i = 6 + -8i

Reorder the terms for easier multiplication:
2m + i(1 + 3n) = 6 + -8i
2m + (1 * i + 3n * i) = 6 + -8i
2m + (1i + 3in) = 6 + -8i

Reorder the terms:
1i + 3in + 2m = 6 + -8i

Solving
1i + 3in + 2m = 6 + -8i

Solving for variable 'i'.

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

Add '8i' to each side of the equation.
1i + 3in + 8i + 2m = 6 + -8i + 8i

Reorder the terms:
1i + 8i + 3in + 2m = 6 + -8i + 8i

Combine like terms: 1i + 8i = 9i
9i + 3in + 2m = 6 + -8i + 8i

Combine like terms: -8i + 8i = 0
9i + 3in + 2m = 6 + 0
9i + 3in + 2m = 6

Add '-2m' to each side of the equation.
9i + 3in + 2m + -2m = 6 + -2m

Combine like terms: 2m + -2m = 0
9i + 3in + 0 = 6 + -2m
9i + 3in = 6 + -2m

Reorder the terms:
-6 + 9i + 3in + 2m = 6 + -2m + -6 + 2m

Reorder the terms:
-6 + 9i + 3in + 2m = 6 + -6 + -2m + 2m

Combine like terms: 6 + -6 = 0
-6 + 9i + 3in + 2m = 0 + -2m + 2m
-6 + 9i + 3in + 2m = -2m + 2m

Combine like terms: -2m + 2m = 0
-6 + 9i + 3in + 2m = 0

The solution to this equation could not be determined.