2+11i=8+12i+6(-1)+(-I)

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Solution for 2+11i=8+12i+6(-1)+(-I) equation: 


Simplifying
2 + 11i = 8 + 12i + 6(-1) + (-1I)

Multiply 6 * -1
2 + 11i = 8 + 12i + -6 + (-1I)

Reorder the terms:
2 + 11i = 8 + -6 + (-1I) + 12i

Combine like terms: 8 + -6 = 2
2 + 11i = 2 + (-1I) + 12i

Add '-2' to each side of the equation.
2 + -2 + 11i = 2 + (-1I) + -2 + 12i

Combine like terms: 2 + -2 = 0
0 + 11i = 2 + (-1I) + -2 + 12i
11i = 2 + (-1I) + -2 + 12i

Reorder the terms:
11i = 2 + -2 + (-1I) + 12i

Combine like terms: 2 + -2 = 0
11i = 0 + (-1I) + 12i
11i = (-1I) + 12i

Solving
11i = (-1I) + 12i

Solving for variable 'i'.

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

Add '-12i' to each side of the equation.
11i + -12i = (-1I) + 12i + -12i

Combine like terms: 11i + -12i = -1i
-1i = (-1I) + 12i + -12i

Combine like terms: 12i + -12i = 0
-1i = (-1I) + 0
-1i = (-1I)

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

Simplifying
i = I

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