3i+-9-7i+21=6i+-16+-24

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Solution for 3i+-9-7i+21=6i+-16+-24 equation: 


Simplifying
3i + -9 + -7i + 21 = 6i + -16 + -24

Reorder the terms:
-9 + 21 + 3i + -7i = 6i + -16 + -24

Combine like terms: -9 + 21 = 12
12 + 3i + -7i = 6i + -16 + -24

Combine like terms: 3i + -7i = -4i
12 + -4i = 6i + -16 + -24

Reorder the terms:
12 + -4i = -16 + -24 + 6i

Combine like terms: -16 + -24 = -40
12 + -4i = -40 + 6i

Solving
12 + -4i = -40 + 6i

Solving for variable 'i'.

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

Add '-6i' to each side of the equation.
12 + -4i + -6i = -40 + 6i + -6i

Combine like terms: -4i + -6i = -10i
12 + -10i = -40 + 6i + -6i

Combine like terms: 6i + -6i = 0
12 + -10i = -40 + 0
12 + -10i = -40

Add '-12' to each side of the equation.
12 + -12 + -10i = -40 + -12

Combine like terms: 12 + -12 = 0
0 + -10i = -40 + -12
-10i = -40 + -12

Combine like terms: -40 + -12 = -52
-10i = -52

Divide each side by '-10'.
i = 5.2

Simplifying
i = 5.2

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