(-7-2i)+(8+3i)=

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Solution for (-7-2i)+(8+3i)= equation:


Simplifying
(-7 + -2i) + (8 + 3i) = 0

Remove parenthesis around (-7 + -2i)
-7 + -2i + (8 + 3i) = 0

Remove parenthesis around (8 + 3i)
-7 + -2i + 8 + 3i = 0

Reorder the terms:
-7 + 8 + -2i + 3i = 0

Combine like terms: -7 + 8 = 1
1 + -2i + 3i = 0

Combine like terms: -2i + 3i = 1i
1 + 1i = 0

Solving
1 + 1i = 0

Solving for variable 'i'.

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

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

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

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

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

Simplifying
i = -1

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