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Verified Answer :

Simplifying

15 + -28i = 3l + (4m) i

 Remove parenthesis around (4m)

15 + -28i = 3l + 4m
i

 Multiply m * i

15 + -28i = 3l + 4im

 Reorder the terms:

15 + -28i = 4im + 3l

 Solving

15 + -28i = 4im + 3l

 Solving for variable 'i'.

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

Add '-4im' to each side of the equation.

15 + -28i + -4im = 4im + -4im + 3l

 Combine like terms: 4im + -4im = 0

15 + -28i + -4im = 0 + 3l

15 + -28i + -4im = 3l

 Add '-15' to each side of the equation.

15 + -28i + -15 + -4im = -15 + 3l

 Reorder the terms:

15 + -15 + -28i + -4im = -15 + 3l

 Combine like terms: 15 + -15 = 0

0 + -28i + -4im = -15 + 3l

-28i + -4im = -15 + 3l

 Reorder the terms:

15 + -28i + -4im + -3l = -15 + 3l + 15 + -3l

 Reorder the terms:
 15 + -28i + -4im + -3l = -15 + 15 + 3l + -3l

 Combine like terms: -15 + 15 = 0

15 + -28i + -4im + -3l = 0 + 3l + -3l

15 + -28i + -4im + -3l = 3l + -3l

 Combine like terms: 3l + -3l = 0

15 + -28i + -4im + -3l = 0

 
The solution to this equation could not be determine