28-5i=3i+20

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Solution for 28-5i=3i+20 equation:


Simplifying
28 + -5i = 3i + 20

Reorder the terms:
28 + -5i = 20 + 3i

Solving
28 + -5i = 20 + 3i

Solving for variable 'i'.

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

Add '-3i' to each side of the equation.
28 + -5i + -3i = 20 + 3i + -3i

Combine like terms: -5i + -3i = -8i
28 + -8i = 20 + 3i + -3i

Combine like terms: 3i + -3i = 0
28 + -8i = 20 + 0
28 + -8i = 20

Add '-28' to each side of the equation.
28 + -28 + -8i = 20 + -28

Combine like terms: 28 + -28 = 0
0 + -8i = 20 + -28
-8i = 20 + -28

Combine like terms: 20 + -28 = -8
-8i = -8

Divide each side by '-8'.
i = 1

Simplifying
i = 1

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