(3l+4)+(3-m)i=16-4i

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Solution for (3l+4)+(3-m)i=16-4i equation:


Simplifying
(3l + 4) + (3 + -1m) * i = 16 + -4i

Reorder the terms:
(4 + 3l) + (3 + -1m) * i = 16 + -4i

Remove parenthesis around (4 + 3l)
4 + 3l + (3 + -1m) * i = 16 + -4i

Reorder the terms for easier multiplication:
4 + 3l + i(3 + -1m) = 16 + -4i
4 + 3l + (3 * i + -1m * i) = 16 + -4i
4 + 3l + (3i + -1im) = 16 + -4i

Reorder the terms:
4 + 3i + -1im + 3l = 16 + -4i

Solving
4 + 3i + -1im + 3l = 16 + -4i

Solving for variable 'i'.

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

Add '4i' to each side of the equation.
4 + 3i + -1im + 4i + 3l = 16 + -4i + 4i

Reorder the terms:
4 + 3i + 4i + -1im + 3l = 16 + -4i + 4i

Combine like terms: 3i + 4i = 7i
4 + 7i + -1im + 3l = 16 + -4i + 4i

Combine like terms: -4i + 4i = 0
4 + 7i + -1im + 3l = 16 + 0
4 + 7i + -1im + 3l = 16

Add '-4' to each side of the equation.
4 + 7i + -1im + -4 + 3l = 16 + -4

Reorder the terms:
4 + -4 + 7i + -1im + 3l = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 7i + -1im + 3l = 16 + -4
7i + -1im + 3l = 16 + -4

Combine like terms: 16 + -4 = 12
7i + -1im + 3l = 12

Add '-3l' to each side of the equation.
7i + -1im + 3l + -3l = 12 + -3l

Combine like terms: 3l + -3l = 0
7i + -1im + 0 = 12 + -3l
7i + -1im = 12 + -3l

Reorder the terms:
-12 + 7i + -1im + 3l = 12 + -3l + -12 + 3l

Reorder the terms:
-12 + 7i + -1im + 3l = 12 + -12 + -3l + 3l

Combine like terms: 12 + -12 = 0
-12 + 7i + -1im + 3l = 0 + -3l + 3l
-12 + 7i + -1im + 3l = -3l + 3l

Combine like terms: -3l + 3l = 0
-12 + 7i + -1im + 3l = 0

The solution to this equation could not be determined.

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