(i-3)+6i-3(8-i)=

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Solution for (i-3)+6i-3(8-i)= equation:


Simplifying
(i + -3) + 6i + -3(8 + -1i) = 0

Reorder the terms:
(-3 + i) + 6i + -3(8 + -1i) = 0

Remove parenthesis around (-3 + i)
-3 + i + 6i + -3(8 + -1i) = 0
-3 + i + 6i + (8 * -3 + -1i * -3) = 0
-3 + i + 6i + (-24 + 3i) = 0

Reorder the terms:
-3 + -24 + i + 6i + 3i = 0

Combine like terms: -3 + -24 = -27
-27 + i + 6i + 3i = 0

Combine like terms: i + 6i = 7i
-27 + 7i + 3i = 0

Combine like terms: 7i + 3i = 10i
-27 + 10i = 0

Solving
-27 + 10i = 0

Solving for variable 'i'.

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

Add '27' to each side of the equation.
-27 + 27 + 10i = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 10i = 0 + 27
10i = 0 + 27

Combine like terms: 0 + 27 = 27
10i = 27

Divide each side by '10'.
i = 2.7

Simplifying
i = 2.7

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