(3-3i)+(2i)-(-7+I)=

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Solution for (3-3i)+(2i)-(-7+I)= equation: 


Simplifying
(3 + -3i) + (2i) + -1(-7 + I) = 0

Remove parenthesis around (3 + -3i)
3 + -3i + (2i) + -1(-7 + I) = 0
3 + -3i + (2i) + (-7 * -1 + I * -1) = 0
3 + -3i + (2i) + (7 + -1I) = 0

Reorder the terms:
3 + 7 + -1I + -3i + (2i) = 0

Combine like terms: 3 + 7 = 10
10 + -1I + -3i + (2i) = 0

Combine like terms: -3i + (2i) = -1i
10 + -1I + -1i = 0

Solving
10 + -1I + -1i = 0

Solving for variable 'I'.

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

Add '-10' to each side of the equation.
10 + -1I + -10 + -1i = 0 + -10

Reorder the terms:
10 + -10 + -1I + -1i = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1I + -1i = 0 + -10
-1I + -1i = 0 + -10

Combine like terms: 0 + -10 = -10
-1I + -1i = -10

Add 'i' to each side of the equation.
-1I + -1i + i = -10 + i

Combine like terms: -1i + i = 0
-1I + 0 = -10 + i
-1I = -10 + i

Divide each side by '-1'.
I = 10 + -1i

Simplifying
I = 10 + -1i

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