6i-18=18-2i

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Solution for 6i-18=18-2i equation:


Simplifying
6i + -18 = 18 + -2i

Reorder the terms:
-18 + 6i = 18 + -2i

Solving
-18 + 6i = 18 + -2i

Solving for variable 'i'.

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

Add '2i' to each side of the equation.
-18 + 6i + 2i = 18 + -2i + 2i

Combine like terms: 6i + 2i = 8i
-18 + 8i = 18 + -2i + 2i

Combine like terms: -2i + 2i = 0
-18 + 8i = 18 + 0
-18 + 8i = 18

Add '18' to each side of the equation.
-18 + 18 + 8i = 18 + 18

Combine like terms: -18 + 18 = 0
0 + 8i = 18 + 18
8i = 18 + 18

Combine like terms: 18 + 18 = 36
8i = 36

Divide each side by '8'.
i = 4.5

Simplifying
i = 4.5

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